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LCM for 350 and 720

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 350 and 720?

Answer

LCM of 350 and 720 is 25,200

(Twenty-five thousand two hundred)

Finding LCM for 350 and 720 using GCF of these numbers

The first method to find LCM for numbers 350 and 720 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 350 and 720 is 10, so

LCM = (350 × 720) ÷ 10

LCM = 252000 ÷ 10

LCM = 25200

Finding LCM for 350 and 720 by Listing Multiples

The second method to find LCM for numbers 350 and 720 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 350: 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500, 3850, 4200, 4550, 4900, 5250, 5600, 5950, 6300, 6650, 7000, 7350, 7700, 8050, 8400, 8750, 9100, 9450, 9800, 10150, 10500, 10850, 11200, 11550, 11900, 12250, 12600, 12950, 13300, 13650, 14000, 14350, 14700, 15050, 15400, 15750, 16100, 16450, 16800, 17150, 17500, 17850, 18200, 18550, 18900, 19250, 19600, 19950, 20300, 20650, 21000, 21350, 21700, 22050, 22400, 22750, 23100, 23450, 23800, 24150, 24500, 24850, 25200, 25550, 25900

Multiples of 720: 720, 1440, 2160, 2880, 3600, 4320, 5040, 5760, 6480, 7200, 7920, 8640, 9360, 10080, 10800, 11520, 12240, 12960, 13680, 14400, 15120, 15840, 16560, 17280, 18000, 18720, 19440, 20160, 20880, 21600, 22320, 23040, 23760, 24480, 25200, 25920, 26640

So the LCM for 350 and 720 is 25200

Finding LCM for 350 and 720 by Prime Factorization

Another method to find LCM for numbers 350 and 720 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)

All Prime Factors of 720: 2, 2, 2, 2, 3, 3, 5 (exponent form: 24, 32, 51)

24 × 52 × 71 × 32 = 25200

See Also

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What is the LCM of 350 and 720?. The LCM of 350 and 720 is 25200 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
35070549350
350706123550
35070735350
350708123900
350709248150
35071024850
350711248850
350712124600
350713249550
35071417850
35071550050
350716125300
350717250950
350718125650
350719251650
35072025200
35072136050
350722126350
350723253050
350724126700
35072510150
350726127050
350727254450
35072818200
350729255150
35073025550
350731255850
350732128100
350733256550
350734128450

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 350 and 720? (The answer is: 25200). Select the first number (e.g. '350') and the second number (e.g. '720'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 350 and 720?

LCM of 350 and 720 is 25,200

How to find the LCM of 350 and 720 using prime factorization?

To find the LCM of 350 and 720, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 25,200.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 350 and 720: LCM = 25,200, GCF = 10.

See Also