Least Common Multiple of 56/478, 4690/8904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/478, 4690/8904 quickly i.e. 9380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/478, 4690/8904 is 9380.

LCM(56/478, 4690/8904) = 9380

LCM of 56/478, 4690/8904

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 56/478,4690/8904

Given numbers are 56/478,4690/8904

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 56,4690

Least Common Multiple of Numerators i.e. LCM of 56,4690 is 18760.

GCF of Denominators means GCF of 478,8904 as per the given fractions.

GCF of 478,8904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,4690

LCM of Fractions 56/478,4690/8904 is 9380

2 56, 4690
7 28, 2345
4, 335

∴ So the LCM of the given numbers is 2 x 7 x 4 x 335 = 18760

Least Common Multiple of 56,4690 with GCF Formula

Least Common Multiple of 56,4690 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 56,4690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,4690) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(56,4690) x common factors =14 x 1 = 14

LCM(56,4690) = ( 56 × 4690 ) / 14

LCM(56,4690) = 262640 / 14

LCM(56,4690) = 18760


Lets's calculate GCF of 478,8904

2 478, 8904
239, 4452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18760/2

Therefore the LCM of Fractions 56/478,4690/8904 is 9380

Greatest Common Factor of 478,8904 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,8904 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904

Greatest Common Factor

We found the factors 478,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 478,8904 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/478, 4690/8904

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 56/478, 4690/8904?

Answer: LCM of Numerators as per given numbers 56/478, 4690/8904 is

LCM of Numerators i.e. for 56,4690 is 18760

GCF of denominators i.e. for 478,8904 is 2.

Thus, LCM of Fractions is 9380.Finally, LCM of Fractions for 56/478, 4690/8904 is 9380.