Least Common Multiple of 86/921, 64/138, 469/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/921, 64/138, 469/780 quickly i.e. 1290688/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/921, 64/138, 469/780 is 1290688/3.

LCM(86/921, 64/138, 469/780) = 1290688/3

LCM of 86/921, 64/138, 469/780

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 86/921,64/138,469/780

Given numbers are 86/921,64/138,469/780

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 86,64,469

Least Common Multiple of Numerators i.e. LCM of 86,64,469 is 1290688.

GCF of Denominators means GCF of 921,138,780 as per the given fractions.

GCF of 921,138,780 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,64,469

LCM of Fractions 86/921,64/138,469/780 is 1290688/3

2 86, 64, 469
43, 32, 469

∴ So the LCM of the given numbers is 2 x 43 x 32 x 469 = 1290688

Least Common Multiple of 86,64,469 with GCF Formula

Least Common Multiple of 86,64,469 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 86,64,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,64,469) = 1

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

GCF(86,64,469) x common factors =1 x 2 = 2

LCM(86,64,469) = ( 86 × 64 × 469 ) / 2

LCM(86,64,469) = 2581376 / 2

LCM(86,64,469) = 1290688


Lets's calculate GCF of 921,138,780

3 921, 138, 780
307, 46, 260

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1290688/3

Therefore the LCM of Fractions 86/921,64/138,469/780 is 1290688/3

Greatest Common Factor of 921,138,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,138,780 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 921,138,780 . The biggest common factor number is the GCF number.
So the greatest common factor 921,138,780 is 3.


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 86/921, 64/138, 469/780

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 86/921, 64/138, 469/780?

Answer: LCM of Numerators as per given numbers 86/921, 64/138, 469/780 is

LCM of Numerators i.e. for 86,64,469 is 1290688

GCF of denominators i.e. for 921,138,780 is 3.

Thus, LCM of Fractions is 1290688/3.Finally, LCM of Fractions for 86/921, 64/138, 469/780 is 1290688/3.