Least Common Multiple of 756/684, 9604/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/684, 9604/316 quickly i.e. 64827 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/684, 9604/316 is 64827.

LCM(756/684, 9604/316) = 64827

LCM of 756/684, 9604/316

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 756/684,9604/316

Given numbers are 756/684,9604/316

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 756,9604

Least Common Multiple of Numerators i.e. LCM of 756,9604 is 259308.

GCF of Denominators means GCF of 684,316 as per the given fractions.

GCF of 684,316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,9604

LCM of Fractions 756/684,9604/316 is 64827

2 756, 9604
2 378, 4802
7 189, 2401
27, 343

∴ So the LCM of the given numbers is 2 x 2 x 7 x 27 x 343 = 259308

Least Common Multiple of 756,9604 with GCF Formula

Least Common Multiple of 756,9604 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 756,9604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,9604) = 28

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

GCF(756,9604) x common factors =28 x 1 = 28

LCM(756,9604) = ( 756 × 9604 ) / 28

LCM(756,9604) = 7260624 / 28

LCM(756,9604) = 259308


Lets's calculate GCF of 684,316

2 684, 316
2 342, 158
171, 79

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259308/4

Therefore the LCM of Fractions 756/684,9604/316 is 64827

Greatest Common Factor of 684,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,316 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 684,316 . The biggest common factor number is the GCF number.
So the greatest common factor 684,316 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 756/684, 9604/316

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 756/684, 9604/316?

Answer: LCM of Numerators as per given numbers 756/684, 9604/316 is

LCM of Numerators i.e. for 756,9604 is 259308

GCF of denominators i.e. for 684,316 is 4.

Thus, LCM of Fractions is 64827.Finally, LCM of Fractions for 756/684, 9604/316 is 64827.