Least Common Multiple of 784, 9604

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 784, 9604 i.e. 38416 smallest integer divisible by all numbers.

Least common multiple (LCM) of 784, 9604 is 38416.

LCM(784, 9604) = 38416

LCM of 784, 9604

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

LCM of:

Least Common Multiple of 784,9604

Least Common Multiple (LCM) of 784,9604 is 38416

2 784, 9604
2 392, 4802
7 196, 2401
7 28, 343
4, 49

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 4 x 49 = 38416

Least Common Multiple of 784,9604 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 784,9604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,9604) = 196

common factors(in case of two or more numbers have common factors) = 1

GCF(784,9604) x common factors =196 x 1 = 196

LCM(784,9604) = ( 784 × 9604 ) / 196

LCM(784,9604) = 7529536 / 196

LCM(784,9604) = 38416

∴ Least Common Multiple of 784,9604 is 38416

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 784, 9604

1. What is the LCM of 784, 9604?

Answer: LCM of 784, 9604 is 38416.

2. What are the Factors of 38416?

Answer: Factors of 38416 are . There are integers that are factors of 38416

3. How to Find the LCM of 784, 9604 ?

Least Common Multiple of 784, 9604.

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(784, 9604) = 2 x 2 x 2 x 2 x 7 x 7 x 7 x 7 = 38416.