Least Common Multiple of 56/602, 148/774, 377/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/602, 148/774, 377/872 quickly i.e. 390572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/602, 148/774, 377/872 is 390572.

LCM(56/602, 148/774, 377/872) = 390572

LCM of 56/602, 148/774, 377/872

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 56/602,148/774,377/872

Given numbers are 56/602,148/774,377/872

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 56,148,377

Least Common Multiple of Numerators i.e. LCM of 56,148,377 is 781144.

GCF of Denominators means GCF of 602,774,872 as per the given fractions.

GCF of 602,774,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,148,377

LCM of Fractions 56/602,148/774,377/872 is 390572

2 56, 148, 377
2 28, 74, 377
14, 37, 377

∴ So the LCM of the given numbers is 2 x 2 x 14 x 37 x 377 = 781144

Least Common Multiple of 56,148,377 with GCF Formula

Least Common Multiple of 56,148,377 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 56,148,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,148,377) = 1

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

GCF(56,148,377) x common factors =1 x 4 = 4

LCM(56,148,377) = ( 56 × 148 × 377 ) / 4

LCM(56,148,377) = 3124576 / 4

LCM(56,148,377) = 781144


Lets's calculate GCF of 602,774,872

2 602, 774, 872
301, 387, 436

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781144/2

Therefore the LCM of Fractions 56/602,148/774,377/872 is 390572

Greatest Common Factor of 602,774,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,774,872 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 602,774,872 . The biggest common factor number is the GCF number.
So the greatest common factor 602,774,872 is 2.


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 56/602, 148/774, 377/872

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 56/602, 148/774, 377/872?

Answer: LCM of Numerators as per given numbers 56/602, 148/774, 377/872 is

LCM of Numerators i.e. for 56,148,377 is 781144

GCF of denominators i.e. for 602,774,872 is 2.

Thus, LCM of Fractions is 390572.Finally, LCM of Fractions for 56/602, 148/774, 377/872 is 390572.