Least Common Multiple of 868/104, 5492/6288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/104, 5492/6288 quickly i.e. 1191764/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/104, 5492/6288 is 1191764/8.

LCM(868/104, 5492/6288) = 1191764/8

LCM of 868/104, 5492/6288

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 868/104,5492/6288

Given numbers are 868/104,5492/6288

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 868,5492

Least Common Multiple of Numerators i.e. LCM of 868,5492 is 1191764.

GCF of Denominators means GCF of 104,6288 as per the given fractions.

GCF of 104,6288 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,5492

LCM of Fractions 868/104,5492/6288 is 1191764/8

2 868, 5492
2 434, 2746
217, 1373

∴ So the LCM of the given numbers is 2 x 2 x 217 x 1373 = 1191764

Least Common Multiple of 868,5492 with GCF Formula

Least Common Multiple of 868,5492 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 868,5492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,5492) = 4

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

GCF(868,5492) x common factors =4 x 1 = 4

LCM(868,5492) = ( 868 × 5492 ) / 4

LCM(868,5492) = 4767056 / 4

LCM(868,5492) = 1191764


Lets's calculate GCF of 104,6288

2 104, 6288
2 52, 3144
2 26, 1572
13, 786

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1191764/8

Therefore the LCM of Fractions 868/104,5492/6288 is 1191764/8

Greatest Common Factor of 104,6288 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,6288 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 6288

List of positive integer factors of 6288 that divides 6288 without a remainder.

1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288

Greatest Common Factor

We found the factors 104,6288 . The biggest common factor number is the GCF number.
So the greatest common factor 104,6288 is 8.


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 868/104, 5492/6288

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 868/104, 5492/6288?

Answer: LCM of Numerators as per given numbers 868/104, 5492/6288 is

LCM of Numerators i.e. for 868,5492 is 1191764

GCF of denominators i.e. for 104,6288 is 8.

Thus, LCM of Fractions is 1191764/8.Finally, LCM of Fractions for 868/104, 5492/6288 is 1191764/8.