Least Common Multiple of 36/785, 76/269, 761/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/785, 76/269, 761/146 quickly i.e. 520524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/785, 76/269, 761/146 is 520524.

LCM(36/785, 76/269, 761/146) = 520524

LCM of 36/785, 76/269, 761/146

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 36/785,76/269,761/146

Given numbers are 36/785,76/269,761/146

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 36,76,761

Least Common Multiple of Numerators i.e. LCM of 36,76,761 is 520524.

GCF of Denominators means GCF of 785,269,146 as per the given fractions.

GCF of 785,269,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,76,761

LCM of Fractions 36/785,76/269,761/146 is 520524

2 36, 76, 761
2 18, 38, 761
9, 19, 761

∴ So the LCM of the given numbers is 2 x 2 x 9 x 19 x 761 = 520524

Least Common Multiple of 36,76,761 with GCF Formula

Least Common Multiple of 36,76,761 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 36,76,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,76,761) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,76,761) x common factors =1 x 4 = 4

LCM(36,76,761) = ( 36 × 76 × 761 ) / 4

LCM(36,76,761) = 2082096 / 4

LCM(36,76,761) = 520524


Lets's calculate GCF of 785,269,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 520524/1

Therefore the LCM of Fractions 36/785,76/269,761/146 is 520524

Greatest Common Factor of 785,269,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,269,146 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 785,269,146 . The biggest common factor number is the GCF number.
So the greatest common factor 785,269,146 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 36/785, 76/269, 761/146

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 36/785, 76/269, 761/146?

Answer: LCM of Numerators as per given numbers 36/785, 76/269, 761/146 is

LCM of Numerators i.e. for 36,76,761 is 520524

GCF of denominators i.e. for 785,269,146 is 1.

Thus, LCM of Fractions is 520524.Finally, LCM of Fractions for 36/785, 76/269, 761/146 is 520524.