Least Common Multiple of 5485/178, 8790/7918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5485/178, 8790/7918 quickly i.e. 4821315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5485/178, 8790/7918 is 4821315.

LCM(5485/178, 8790/7918) = 4821315

LCM of 5485/178, 8790/7918

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 5485/178,8790/7918

Given numbers are 5485/178,8790/7918

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 5485,8790

Least Common Multiple of Numerators i.e. LCM of 5485,8790 is 9642630.

GCF of Denominators means GCF of 178,7918 as per the given fractions.

GCF of 178,7918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5485,8790

LCM of Fractions 5485/178,8790/7918 is 4821315

5 5485, 8790
1097, 1758

∴ So the LCM of the given numbers is 5 x 1097 x 1758 = 9642630

Least Common Multiple of 5485,8790 with GCF Formula

Least Common Multiple of 5485,8790 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 5485,8790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5485,8790) = 5

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

GCF(5485,8790) x common factors =5 x 1 = 5

LCM(5485,8790) = ( 5485 × 8790 ) / 5

LCM(5485,8790) = 48213150 / 5

LCM(5485,8790) = 9642630


Lets's calculate GCF of 178,7918

2 178, 7918
89, 3959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9642630/2

Therefore the LCM of Fractions 5485/178,8790/7918 is 4821315

Greatest Common Factor of 178,7918 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,7918 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 7918

List of positive integer factors of 7918 that divides 7918 without a remainder.

1,2,37,74,107,214,3959,7918

Greatest Common Factor

We found the factors 178,7918 . The biggest common factor number is the GCF number.
So the greatest common factor 178,7918 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 5485/178, 8790/7918

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 5485/178, 8790/7918?

Answer: LCM of Numerators as per given numbers 5485/178, 8790/7918 is

LCM of Numerators i.e. for 5485,8790 is 9642630

GCF of denominators i.e. for 178,7918 is 2.

Thus, LCM of Fractions is 4821315.Finally, LCM of Fractions for 5485/178, 8790/7918 is 4821315.