LCM for 210 and 350

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 210 and 350?

Answer

LCM of 210 and 350 is 1,050

(One thousand, fifty)

Finding LCM for 210 and 350 using GCF of these numbers

The first method to find LCM for numbers 210 and 350 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 210 and 350 is 70, so

LCM = (210 × 350) ÷ 70

LCM = 73500 ÷ 70

LCM = 1050

Finding LCM for 210 and 350 by Listing Multiples

The second method to find LCM for numbers 210 and 350 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470

Multiples of 350: 350, 700, 1050, 1400, 1750

So the LCM for 210 and 350 is 1050

Finding LCM for 210 and 350 by Prime Factorization

Another method to find LCM for numbers 210 and 350 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

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

21 × 31 × 52 × 71 = 1050

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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 210 and 350? (The answer is: 1050). Select the first number (e.g. '210') and the second number (e.g. '350'). 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

LCM Table

Number 1Number 2LCM
19535013650
1963504900
19735068950
19835034650
19935069650
2003501400
20135070350
20235035350
20335010150
20435035700
20535014350
20635036050
20735072450
20835036400
20935073150
2103501050
21135073850
21235037100
21335074550
21435037450
21535015050
21635037800
21735010850
21835038150
21935076650
2203507700
22135077350
22235038850
22335078050
2243505600

FAQ

What's the Least Common Multiple (LCM) of 210 and 350?

LCM of 210 and 350 is 1,050

How to find the LCM of 210 and 350 using prime factorization?

To find the LCM of 210 and 350, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,050.

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 210 and 350: LCM = 1,050, GCF = 70.

See Also