Least Common Multiple of 700, 966, 974

Q: How to Find the LCM of 700, 966, 974 ?

Least Common Multiple of 700, 966, 974 = 23522100 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(700, 966, 974) = 2 x 2 x 3 x 5 x 5 x 7 x 23 x 487 = 23522100.

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 700, 966, 974 i.e. 23522100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 700, 966, 974 is 23522100.

LCM(700, 966, 974) = 23522100

LCM of 700, 966, 974

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

Least Common Multiple of 700, 966, 974 by common division method
Least Common Multiple of 700, 966, 974 with GCF Formula

Least Common Multiple of 700,966,974

Least Common Multiple (LCM) of 700,966,974 is 23522100

2	700, 966, 974
7	350, 483, 487
	50, 69, 487

∴ So the LCM of the given numbers is 2 x 7 x 50 x 69 x 487 = 23522100

Least Common Multiple of 700,966,974 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 700,966,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,966,974) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(700,966,974) x common factors =2 x 14 = 28

LCM(700,966,974) = ( 700 × 966 × 974 ) / 28

LCM(700,966,974) = 658618800 / 28

LCM(700,966,974) = 23522100

∴ Least Common Multiple of 700,966,974 is 23522100

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 700, 966, 974

1. What is the LCM of 700, 966, 974?

Answer: LCM of 700, 966, 974 is 23522100.

2. What are the Factors of 23522100?

Answer: Factors of 23522100 are . There are integers that are factors of 23522100

3. How to Find the LCM of 700, 966, 974 ?

Least Common Multiple of 700, 966, 974.

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(700, 966, 974) = 2 x 2 x 3 x 5 x 5 x 7 x 23 x 487 = 23522100.