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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

Related Calculations

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What is the LCM of 210 and 350?. The LCM of 210 and 350 is 1050 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
21033514070
2103361680
21033770770
21033835490
21033923730
2103407140
21034171610
21034211970
21034310290
21034436120
2103454830
21034636330
21034772870
21034812180
21034973290
2103501050
21035124570
21035236960
21035374130
21035412390
21035514910
21035637380
2103573570
21035837590
21035975390
2103602520
21036175810
21036238010
21036325410
2103645460

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

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