Least Common Multiple of 491/696, 420/843, 537/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/696, 420/843, 537/905 quickly i.e. 36913380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/696, 420/843, 537/905 is 36913380.

LCM(491/696, 420/843, 537/905) = 36913380

LCM of 491/696, 420/843, 537/905

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 491/696,420/843,537/905

Given numbers are 491/696,420/843,537/905

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 491,420,537

Least Common Multiple of Numerators i.e. LCM of 491,420,537 is 36913380.

GCF of Denominators means GCF of 696,843,905 as per the given fractions.

GCF of 696,843,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,420,537

LCM of Fractions 491/696,420/843,537/905 is 36913380

3 491, 420, 537
491, 140, 179

∴ So the LCM of the given numbers is 3 x 491 x 140 x 179 = 36913380

Least Common Multiple of 491,420,537 with GCF Formula

Least Common Multiple of 491,420,537 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 491,420,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,420,537) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(491,420,537) x common factors =1 x 3 = 3

LCM(491,420,537) = ( 491 × 420 × 537 ) / 3

LCM(491,420,537) = 110740140 / 3

LCM(491,420,537) = 36913380


Lets's calculate GCF of 696,843,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36913380/1

Therefore the LCM of Fractions 491/696,420/843,537/905 is 36913380

Greatest Common Factor of 696,843,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,843,905 By Matching Biggest Common Factor Method

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 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 696,843,905 . The biggest common factor number is the GCF number.
So the greatest common factor 696,843,905 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 491/696, 420/843, 537/905

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 491/696, 420/843, 537/905?

Answer: LCM of Numerators as per given numbers 491/696, 420/843, 537/905 is

LCM of Numerators i.e. for 491,420,537 is 36913380

GCF of denominators i.e. for 696,843,905 is 1.

Thus, LCM of Fractions is 36913380.Finally, LCM of Fractions for 491/696, 420/843, 537/905 is 36913380.