Least Common Multiple of 26/631, 35/495, 847/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/631, 35/495, 847/288 quickly i.e. 110110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/631, 35/495, 847/288 is 110110.

LCM(26/631, 35/495, 847/288) = 110110

LCM of 26/631, 35/495, 847/288

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 26/631,35/495,847/288

Given numbers are 26/631,35/495,847/288

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 26,35,847

Least Common Multiple of Numerators i.e. LCM of 26,35,847 is 110110.

GCF of Denominators means GCF of 631,495,288 as per the given fractions.

GCF of 631,495,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,35,847

LCM of Fractions 26/631,35/495,847/288 is 110110

7 26, 35, 847
26, 5, 121

∴ So the LCM of the given numbers is 7 x 26 x 5 x 121 = 110110

Least Common Multiple of 26,35,847 with GCF Formula

Least Common Multiple of 26,35,847 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 26,35,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,35,847) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(26,35,847) x common factors =1 x 7 = 7

LCM(26,35,847) = ( 26 × 35 × 847 ) / 7

LCM(26,35,847) = 770770 / 7

LCM(26,35,847) = 110110


Lets's calculate GCF of 631,495,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110110/1

Therefore the LCM of Fractions 26/631,35/495,847/288 is 110110

Greatest Common Factor of 631,495,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,495,288 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 631,495,288 . The biggest common factor number is the GCF number.
So the greatest common factor 631,495,288 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/631, 35/495, 847/288

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 26/631, 35/495, 847/288?

Answer: LCM of Numerators as per given numbers 26/631, 35/495, 847/288 is

LCM of Numerators i.e. for 26,35,847 is 110110

GCF of denominators i.e. for 631,495,288 is 1.

Thus, LCM of Fractions is 110110.Finally, LCM of Fractions for 26/631, 35/495, 847/288 is 110110.