LCM for 210 and 350

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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 = 73,500 ÷ 70

LCM = 1,050

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 1,050

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 = 1,050

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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: 1,050). 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
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LCM Table

Number 1Number 2LCM
21033514,070
2103361,680
21033770,770
21033835,490
21033923,730
2103407,140
21034171,610
21034211,970
21034310,290
21034436,120
2103454,830
21034636,330
21034772,870
21034812,180
21034973,290
2103501,050
21035124,570
21035236,960
21035374,130
21035412,390
21035514,910
21035637,380
2103573,570
21035837,590
21035975,390
2103602,520
21036175,810
21036238,010
21036325,410
2103645,460

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