Least Common Multiple of 8/54, 70/696, 86/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/54, 70/696, 86/628 quickly i.e. 6020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/54, 70/696, 86/628 is 6020.

LCM(8/54, 70/696, 86/628) = 6020

LCM of 8/54, 70/696, 86/628

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 8/54,70/696,86/628

Given numbers are 8/54,70/696,86/628

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 8,70,86

Least Common Multiple of Numerators i.e. LCM of 8,70,86 is 12040.

GCF of Denominators means GCF of 54,696,628 as per the given fractions.

GCF of 54,696,628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,70,86

LCM of Fractions 8/54,70/696,86/628 is 6020

2 8, 70, 86
4, 35, 43

∴ So the LCM of the given numbers is 2 x 4 x 35 x 43 = 12040

Least Common Multiple of 8,70,86 with GCF Formula

Least Common Multiple of 8,70,86 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 8,70,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,70,86) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(8,70,86) x common factors =2 x 2 = 4

LCM(8,70,86) = ( 8 × 70 × 86 ) / 4

LCM(8,70,86) = 48160 / 4

LCM(8,70,86) = 12040


Lets's calculate GCF of 54,696,628

2 54, 696, 628
27, 348, 314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12040/2

Therefore the LCM of Fractions 8/54,70/696,86/628 is 6020

Greatest Common Factor of 54,696,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,696,628 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 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

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 54,696,628 . The biggest common factor number is the GCF number.
So the greatest common factor 54,696,628 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 8/54, 70/696, 86/628

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 8/54, 70/696, 86/628?

Answer: LCM of Numerators as per given numbers 8/54, 70/696, 86/628 is

LCM of Numerators i.e. for 8,70,86 is 12040

GCF of denominators i.e. for 54,696,628 is 2.

Thus, LCM of Fractions is 6020.Finally, LCM of Fractions for 8/54, 70/696, 86/628 is 6020.