Least Common Multiple of 735, 874, 532

Q: How to Find the LCM of 735, 874, 532 ?

Least Common Multiple of 735, 874, 532 = 1284780 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(735, 874, 532) = 2 x 2 x 3 x 5 x 7 x 7 x 19 x 23 = 1284780.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 735, 874, 532 i.e. 1284780 smallest integer divisible by all numbers.

Least common multiple (LCM) of 735, 874, 532 is 1284780.

LCM(735, 874, 532) = 1284780

LCM of 735, 874, 532

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 735, 874, 532 by common division method
Least Common Multiple of 735, 874, 532 with GCF Formula

Least Common Multiple of 735,874,532

Least Common Multiple (LCM) of 735,874,532 is 1284780

2	735, 874, 532
7	735, 437, 266
19	105, 437, 38
	105, 23, 2

∴ So the LCM of the given numbers is 2 x 7 x 19 x 105 x 23 x 2 = 1284780

Least Common Multiple of 735,874,532 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 735,874,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,874,532) = 1

common factors(in case of two or more numbers have common factors) = 266

GCF(735,874,532) x common factors =1 x 266 = 266

LCM(735,874,532) = ( 735 × 874 × 532 ) / 266

LCM(735,874,532) = 341751480 / 266

LCM(735,874,532) = 1284780

∴ Least Common Multiple of 735,874,532 is 1284780

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 735, 874, 532

1. What is the LCM of 735, 874, 532?

Answer: LCM of 735, 874, 532 is 1284780.

2. What are the Factors of 1284780?

Answer: Factors of 1284780 are . There are integers that are factors of 1284780

3. How to Find the LCM of 735, 874, 532 ?

Least Common Multiple of 735, 874, 532.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(735, 874, 532) = 2 x 2 x 3 x 5 x 7 x 7 x 19 x 23 = 1284780.