Least Common Multiple of 56/278, 47/477, 738/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/278, 47/477, 738/157 quickly i.e. 971208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/278, 47/477, 738/157 is 971208.

LCM(56/278, 47/477, 738/157) = 971208

LCM of 56/278, 47/477, 738/157

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 56/278,47/477,738/157

Given numbers are 56/278,47/477,738/157

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 56,47,738

Least Common Multiple of Numerators i.e. LCM of 56,47,738 is 971208.

GCF of Denominators means GCF of 278,477,157 as per the given fractions.

GCF of 278,477,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,47,738

LCM of Fractions 56/278,47/477,738/157 is 971208

2 56, 47, 738
28, 47, 369

∴ So the LCM of the given numbers is 2 x 28 x 47 x 369 = 971208

Least Common Multiple of 56,47,738 with GCF Formula

Least Common Multiple of 56,47,738 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 56,47,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,47,738) = 1

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

GCF(56,47,738) x common factors =1 x 2 = 2

LCM(56,47,738) = ( 56 × 47 × 738 ) / 2

LCM(56,47,738) = 1942416 / 2

LCM(56,47,738) = 971208


Lets's calculate GCF of 278,477,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 971208/1

Therefore the LCM of Fractions 56/278,47/477,738/157 is 971208

Greatest Common Factor of 278,477,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,477,157 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 278,477,157 . The biggest common factor number is the GCF number.
So the greatest common factor 278,477,157 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 56/278, 47/477, 738/157

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 56/278, 47/477, 738/157?

Answer: LCM of Numerators as per given numbers 56/278, 47/477, 738/157 is

LCM of Numerators i.e. for 56,47,738 is 971208

GCF of denominators i.e. for 278,477,157 is 1.

Thus, LCM of Fractions is 971208.Finally, LCM of Fractions for 56/278, 47/477, 738/157 is 971208.