Least Common Multiple of 217, 744, 996

Q: How to Find the LCM of 217, 744, 996 ?

Least Common Multiple of 217, 744, 996 = 432264 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(217, 744, 996) = 2 x 2 x 2 x 3 x 7 x 31 x 83 = 432264.

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 217, 744, 996 i.e. 432264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 217, 744, 996 is 432264.

LCM(217, 744, 996) = 432264

LCM of 217, 744, 996

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

Least Common Multiple of 217, 744, 996 by common division method
Least Common Multiple of 217, 744, 996 with GCF Formula

Least Common Multiple of 217,744,996

Least Common Multiple (LCM) of 217,744,996 is 432264

2	217, 744, 996
2	217, 372, 498
3	217, 186, 249
31	217, 62, 83
	7, 2, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 7 x 2 x 83 = 432264

Least Common Multiple of 217,744,996 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 217,744,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,744,996) = 1

common factors(in case of two or more numbers have common factors) = 372

GCF(217,744,996) x common factors =1 x 372 = 372

LCM(217,744,996) = ( 217 × 744 × 996 ) / 372

LCM(217,744,996) = 160802208 / 372

LCM(217,744,996) = 432264

∴ Least Common Multiple of 217,744,996 is 432264

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 217, 744, 996

1. What is the LCM of 217, 744, 996?

Answer: LCM of 217, 744, 996 is 432264.

2. What are the Factors of 432264?

Answer: Factors of 432264 are . There are integers that are factors of 432264

3. How to Find the LCM of 217, 744, 996 ?

Least Common Multiple of 217, 744, 996.

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(217, 744, 996) = 2 x 2 x 2 x 3 x 7 x 31 x 83 = 432264.