Least Common Multiple of 836/54, 696/7315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 836/54, 696/7315 quickly i.e. 145464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/54, 696/7315 is 145464.

LCM(836/54, 696/7315) = 145464

LCM of 836/54, 696/7315

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 836/54,696/7315

Given numbers are 836/54,696/7315

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 836,696

Least Common Multiple of Numerators i.e. LCM of 836,696 is 145464.

GCF of Denominators means GCF of 54,7315 as per the given fractions.

GCF of 54,7315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,696

LCM of Fractions 836/54,696/7315 is 145464

2 836, 696
2 418, 348
209, 174

∴ So the LCM of the given numbers is 2 x 2 x 209 x 174 = 145464

Least Common Multiple of 836,696 with GCF Formula

Least Common Multiple of 836,696 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 836,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,696) = 4

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

GCF(836,696) x common factors =4 x 1 = 4

LCM(836,696) = ( 836 × 696 ) / 4

LCM(836,696) = 581856 / 4

LCM(836,696) = 145464


Lets's calculate GCF of 54,7315

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145464/1

Therefore the LCM of Fractions 836/54,696/7315 is 145464

Greatest Common Factor of 54,7315 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,7315 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Greatest Common Factor

We found the factors 54,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 54,7315 is 1.


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 836/54, 696/7315

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 836/54, 696/7315?

Answer: LCM of Numerators as per given numbers 836/54, 696/7315 is

LCM of Numerators i.e. for 836,696 is 145464

GCF of denominators i.e. for 54,7315 is 1.

Thus, LCM of Fractions is 145464.Finally, LCM of Fractions for 836/54, 696/7315 is 145464.