Least Common Multiple of 684/50, 8404/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/50, 8404/696 quickly i.e. 718542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/50, 8404/696 is 718542.

LCM(684/50, 8404/696) = 718542

LCM of 684/50, 8404/696

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 684/50,8404/696

Given numbers are 684/50,8404/696

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 684,8404

Least Common Multiple of Numerators i.e. LCM of 684,8404 is 1437084.

GCF of Denominators means GCF of 50,696 as per the given fractions.

GCF of 50,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,8404

LCM of Fractions 684/50,8404/696 is 718542

2 684, 8404
2 342, 4202
171, 2101

∴ So the LCM of the given numbers is 2 x 2 x 171 x 2101 = 1437084

Least Common Multiple of 684,8404 with GCF Formula

Least Common Multiple of 684,8404 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 684,8404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,8404) = 4

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

GCF(684,8404) x common factors =4 x 1 = 4

LCM(684,8404) = ( 684 × 8404 ) / 4

LCM(684,8404) = 5748336 / 4

LCM(684,8404) = 1437084


Lets's calculate GCF of 50,696

2 50, 696
25, 348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1437084/2

Therefore the LCM of Fractions 684/50,8404/696 is 718542

Greatest Common Factor of 50,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,696 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 50,696 . The biggest common factor number is the GCF number.
So the greatest common factor 50,696 is 2.


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 684/50, 8404/696

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 684/50, 8404/696?

Answer: LCM of Numerators as per given numbers 684/50, 8404/696 is

LCM of Numerators i.e. for 684,8404 is 1437084

GCF of denominators i.e. for 50,696 is 2.

Thus, LCM of Fractions is 718542.Finally, LCM of Fractions for 684/50, 8404/696 is 718542.