Least Common Multiple of 92/601, 384/615, 297/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/601, 384/615, 297/780 quickly i.e. 874368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/601, 384/615, 297/780 is 874368.

LCM(92/601, 384/615, 297/780) = 874368

LCM of 92/601, 384/615, 297/780

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 92/601,384/615,297/780

Given numbers are 92/601,384/615,297/780

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 92,384,297

Least Common Multiple of Numerators i.e. LCM of 92,384,297 is 874368.

GCF of Denominators means GCF of 601,615,780 as per the given fractions.

GCF of 601,615,780 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,384,297

LCM of Fractions 92/601,384/615,297/780 is 874368

2 92, 384, 297
2 46, 192, 297
3 23, 96, 297
23, 32, 99

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 32 x 99 = 874368

Least Common Multiple of 92,384,297 with GCF Formula

Least Common Multiple of 92,384,297 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 92,384,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,384,297) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(92,384,297) x common factors =1 x 12 = 12

LCM(92,384,297) = ( 92 × 384 × 297 ) / 12

LCM(92,384,297) = 10492416 / 12

LCM(92,384,297) = 874368


Lets's calculate GCF of 601,615,780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 874368/1

Therefore the LCM of Fractions 92/601,384/615,297/780 is 874368

Greatest Common Factor of 601,615,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,615,780 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

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 601,615,780 . The biggest common factor number is the GCF number.
So the greatest common factor 601,615,780 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 92/601, 384/615, 297/780

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 92/601, 384/615, 297/780?

Answer: LCM of Numerators as per given numbers 92/601, 384/615, 297/780 is

LCM of Numerators i.e. for 92,384,297 is 874368

GCF of denominators i.e. for 601,615,780 is 1.

Thus, LCM of Fractions is 874368.Finally, LCM of Fractions for 92/601, 384/615, 297/780 is 874368.