Least Common Multiple of 960, 308, 700

Q: How to Find the LCM of 960, 308, 700 ?

Least Common Multiple of 960, 308, 700 = 369600 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(960, 308, 700) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 = 369600.

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 960, 308, 700 i.e. 369600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 960, 308, 700 is 369600.

LCM(960, 308, 700) = 369600

LCM of 960, 308, 700

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

Least Common Multiple of 960, 308, 700 by common division method
Least Common Multiple of 960, 308, 700 with GCF Formula

Least Common Multiple of 960,308,700

Least Common Multiple (LCM) of 960,308,700 is 369600

2	960, 308, 700
2	480, 154, 350
5	240, 77, 175
7	48, 77, 35
	48, 11, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 48 x 11 x 5 = 369600

Least Common Multiple of 960,308,700 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 960,308,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,308,700) = 4

common factors(in case of two or more numbers have common factors) = 140

GCF(960,308,700) x common factors =4 x 140 = 560

LCM(960,308,700) = ( 960 × 308 × 700 ) / 560

LCM(960,308,700) = 206976000 / 560

LCM(960,308,700) = 369600

∴ Least Common Multiple of 960,308,700 is 369600

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 960, 308, 700

1. What is the LCM of 960, 308, 700?

Answer: LCM of 960, 308, 700 is 369600.

2. What are the Factors of 369600?

Answer: Factors of 369600 are . There are integers that are factors of 369600

3. How to Find the LCM of 960, 308, 700 ?

Least Common Multiple of 960, 308, 700.

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(960, 308, 700) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 = 369600.