LCM for 350 and 720

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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 = 252,000 ÷ 10

LCM = 25,200

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 25,200

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 = 25,200

See Also

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: 25,200). 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
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LCM Table

Number 1Number 2LCM
35070549,350
350706123,550
35070735,350
350708123,900
350709248,150
35071024,850
350711248,850
350712124,600
350713249,550
35071417,850
35071550,050
350716125,300
350717250,950
350718125,650
350719251,650
35072025,200
35072136,050
350722126,350
350723253,050
350724126,700
35072510,150
350726127,050
350727254,450
35072818,200
350729255,150
35073025,550
350731255,850
350732128,100
350733256,550
350734128,450

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