Least Common Multiple of 749, 784, 460

Q: How to Find the LCM of 749, 784, 460 ?

Least Common Multiple of 749, 784, 460 = 9647120 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, 784, 460) = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 23 x 107 = 9647120.

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, 784, 460 i.e. 9647120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 749, 784, 460 is 9647120.

LCM(749, 784, 460) = 9647120

LCM of 749, 784, 460

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

Least Common Multiple of 749, 784, 460 by common division method
Least Common Multiple of 749, 784, 460 with GCF Formula

Least Common Multiple of 749,784,460

Least Common Multiple (LCM) of 749,784,460 is 9647120

2	749, 784, 460
2	749, 392, 230
7	749, 196, 115
	107, 28, 115

∴ So the LCM of the given numbers is 2 x 2 x 7 x 107 x 28 x 115 = 9647120

Least Common Multiple of 749,784,460 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 749,784,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,784,460) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(749,784,460) x common factors =1 x 28 = 28

LCM(749,784,460) = ( 749 × 784 × 460 ) / 28

LCM(749,784,460) = 270119360 / 28

LCM(749,784,460) = 9647120

∴ Least Common Multiple of 749,784,460 is 9647120

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, 784, 460

1. What is the LCM of 749, 784, 460?

Answer: LCM of 749, 784, 460 is 9647120.

2. What are the Factors of 9647120?

Answer: Factors of 9647120 are . There are integers that are factors of 9647120

3. How to Find the LCM of 749, 784, 460 ?

Least Common Multiple of 749, 784, 460.

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, 784, 460) = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 23 x 107 = 9647120.