Least Common Multiple of 87/790, 4975/5678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/790, 4975/5678 quickly i.e. 432825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/790, 4975/5678 is 432825/2.

LCM(87/790, 4975/5678) = 432825/2

LCM of 87/790, 4975/5678

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 87/790,4975/5678

Given numbers are 87/790,4975/5678

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 87,4975

Least Common Multiple of Numerators i.e. LCM of 87,4975 is 432825.

GCF of Denominators means GCF of 790,5678 as per the given fractions.

GCF of 790,5678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,4975

LCM of Fractions 87/790,4975/5678 is 432825/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 432825

Least Common Multiple of 87,4975 with GCF Formula

Least Common Multiple of 87,4975 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 87,4975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,4975) = 1

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

GCF(87,4975) x common factors =1 x 1 = 1

LCM(87,4975) = ( 87 × 4975 ) / 1

LCM(87,4975) = 432825 / 1

LCM(87,4975) = 432825


Lets's calculate GCF of 790,5678

2 790, 5678
395, 2839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432825/2

Therefore the LCM of Fractions 87/790,4975/5678 is 432825/2

Greatest Common Factor of 790,5678 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,5678 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 5678

List of positive integer factors of 5678 that divides 5678 without a remainder.

1,2,17,34,167,334,2839,5678

Greatest Common Factor

We found the factors 790,5678 . The biggest common factor number is the GCF number.
So the greatest common factor 790,5678 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 87/790, 4975/5678

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 87/790, 4975/5678?

Answer: LCM of Numerators as per given numbers 87/790, 4975/5678 is

LCM of Numerators i.e. for 87,4975 is 432825

GCF of denominators i.e. for 790,5678 is 2.

Thus, LCM of Fractions is 432825/2.Finally, LCM of Fractions for 87/790, 4975/5678 is 432825/2.