Least Common Multiple of 749, 512, 216

Q: How to Find the LCM of 749, 512, 216 ?

Least Common Multiple of 749, 512, 216 = 10354176 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(749, 512, 216) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 107 = 10354176.

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 749, 512, 216 i.e. 10354176 smallest integer divisible by all numbers.

Least common multiple (LCM) of 749, 512, 216 is 10354176.

LCM(749, 512, 216) = 10354176

LCM of 749, 512, 216

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

Least Common Multiple of 749, 512, 216 by common division method
Least Common Multiple of 749, 512, 216 with GCF Formula

Least Common Multiple of 749,512,216

Least Common Multiple (LCM) of 749,512,216 is 10354176

2	749, 512, 216
2	749, 256, 108
2	749, 128, 54
	749, 64, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 749 x 64 x 27 = 10354176

Least Common Multiple of 749,512,216 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 749,512,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,512,216) = 1

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

GCF(749,512,216) x common factors =1 x 8 = 8

LCM(749,512,216) = ( 749 × 512 × 216 ) / 8

LCM(749,512,216) = 82833408 / 8

LCM(749,512,216) = 10354176

∴ Least Common Multiple of 749,512,216 is 10354176

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 749, 512, 216

1. What is the LCM of 749, 512, 216?

Answer: LCM of 749, 512, 216 is 10354176.

2. What are the Factors of 10354176?

Answer: Factors of 10354176 are . There are integers that are factors of 10354176

3. How to Find the LCM of 749, 512, 216 ?

Least Common Multiple of 749, 512, 216.

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(749, 512, 216) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 107 = 10354176.