Least Common Multiple of 870/73, 5257/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/73, 5257/242 quickly i.e. 4573590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/73, 5257/242 is 4573590.

LCM(870/73, 5257/242) = 4573590

LCM of 870/73, 5257/242

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 870/73,5257/242

Given numbers are 870/73,5257/242

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 870,5257

Least Common Multiple of Numerators i.e. LCM of 870,5257 is 4573590.

GCF of Denominators means GCF of 73,242 as per the given fractions.

GCF of 73,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,5257

LCM of Fractions 870/73,5257/242 is 4573590

Given numbers has no common factors except 1. So, there LCM is their product i.e 4573590

Least Common Multiple of 870,5257 with GCF Formula

Least Common Multiple of 870,5257 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 870,5257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,5257) = 1

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

GCF(870,5257) x common factors =1 x 1 = 1

LCM(870,5257) = ( 870 × 5257 ) / 1

LCM(870,5257) = 4573590 / 1

LCM(870,5257) = 4573590


Lets's calculate GCF of 73,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4573590/1

Therefore the LCM of Fractions 870/73,5257/242 is 4573590

Greatest Common Factor of 73,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,242 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 73,242 . The biggest common factor number is the GCF number.
So the greatest common factor 73,242 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 870/73, 5257/242

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 870/73, 5257/242?

Answer: LCM of Numerators as per given numbers 870/73, 5257/242 is

LCM of Numerators i.e. for 870,5257 is 4573590

GCF of denominators i.e. for 73,242 is 1.

Thus, LCM of Fractions is 4573590.Finally, LCM of Fractions for 870/73, 5257/242 is 4573590.