Least Common Multiple of 343, 312, 704

Q: How to Find the LCM of 343, 312, 704 ?

Least Common Multiple of 343, 312, 704 = 9417408 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(343, 312, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 x 13 = 9417408.

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 343, 312, 704 i.e. 9417408 smallest integer divisible by all numbers.

Least common multiple (LCM) of 343, 312, 704 is 9417408.

LCM(343, 312, 704) = 9417408

LCM of 343, 312, 704

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

Least Common Multiple of 343, 312, 704 by common division method
Least Common Multiple of 343, 312, 704 with GCF Formula

Least Common Multiple of 343,312,704

Least Common Multiple (LCM) of 343,312,704 is 9417408

2	343, 312, 704
2	343, 156, 352
2	343, 78, 176
	343, 39, 88

∴ So the LCM of the given numbers is 2 x 2 x 2 x 343 x 39 x 88 = 9417408

Least Common Multiple of 343,312,704 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 343,312,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,312,704) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(343,312,704) x common factors =1 x 8 = 8

LCM(343,312,704) = ( 343 × 312 × 704 ) / 8

LCM(343,312,704) = 75339264 / 8

LCM(343,312,704) = 9417408

∴ Least Common Multiple of 343,312,704 is 9417408

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 343, 312, 704

1. What is the LCM of 343, 312, 704?

Answer: LCM of 343, 312, 704 is 9417408.

2. What are the Factors of 9417408?

Answer: Factors of 9417408 are . There are integers that are factors of 9417408

3. How to Find the LCM of 343, 312, 704 ?

Least Common Multiple of 343, 312, 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(343, 312, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 x 13 = 9417408.