Least Common Multiple of 342, 748, 632, 704

Q: How to Find the LCM of 342, 748, 632, 704 ?

Least Common Multiple of 342, 748, 632, 704 = 161675712 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(342, 748, 632, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 19 x 79 = 161675712.

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 342, 748, 632, 704 i.e. 161675712 smallest integer divisible by all numbers.

Least common multiple (LCM) of 342, 748, 632, 704 is 161675712.

LCM(342, 748, 632, 704) = 161675712

LCM of 342, 748, 632, 704

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

Least Common Multiple of 342, 748, 632, 704 by common division method
Least Common Multiple of 342, 748, 632, 704 with GCF Formula

Least Common Multiple of 342,748,632,704

Least Common Multiple (LCM) of 342,748,632,704 is 161675712

2	342, 748, 632, 704
2	171, 374, 316, 352
2	171, 187, 158, 176
11	171, 187, 79, 88
	171, 17, 79, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 171 x 17 x 79 x 8 = 161675712

Least Common Multiple of 342,748,632,704 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 342,748,632,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,748,632,704) = 2

common factors(in case of two or more numbers have common factors) = 352

GCF(342,748,632,704) x common factors =2 x 352 = 704

LCM(342,748,632,704) = ( 342 × 748 × 632 × 704 ) / 704

LCM(342,748,632,704) = 113819701248 / 704

LCM(342,748,632,704) = 161675712

∴ Least Common Multiple of 342,748,632,704 is 161675712

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 342, 748, 632, 704

1. What is the LCM of 342, 748, 632, 704?

Answer: LCM of 342, 748, 632, 704 is 161675712.

2. What are the Factors of 161675712?

Answer: Factors of 161675712 are . There are integers that are factors of 161675712

3. How to Find the LCM of 342, 748, 632, 704 ?

Least Common Multiple of 342, 748, 632, 704.

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(342, 748, 632, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 19 x 79 = 161675712.