Least Common Multiple of 557/842, 500/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 557/842, 500/258 quickly i.e. 139250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/842, 500/258 is 139250.

LCM(557/842, 500/258) = 139250

LCM of 557/842, 500/258

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 557/842,500/258

Given numbers are 557/842,500/258

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 557,500

Least Common Multiple of Numerators i.e. LCM of 557,500 is 278500.

GCF of Denominators means GCF of 842,258 as per the given fractions.

GCF of 842,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,500

LCM of Fractions 557/842,500/258 is 139250

Given numbers has no common factors except 1. So, there LCM is their product i.e 278500

Least Common Multiple of 557,500 with GCF Formula

Least Common Multiple of 557,500 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 557,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,500) = 1

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

GCF(557,500) x common factors =1 x 1 = 1

LCM(557,500) = ( 557 × 500 ) / 1

LCM(557,500) = 278500 / 1

LCM(557,500) = 278500


Lets's calculate GCF of 842,258

2 842, 258
421, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278500/2

Therefore the LCM of Fractions 557/842,500/258 is 139250

Greatest Common Factor of 842,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,258 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 842,258 . The biggest common factor number is the GCF number.
So the greatest common factor 842,258 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 557/842, 500/258

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 557/842, 500/258?

Answer: LCM of Numerators as per given numbers 557/842, 500/258 is

LCM of Numerators i.e. for 557,500 is 278500

GCF of denominators i.e. for 842,258 is 2.

Thus, LCM of Fractions is 139250.Finally, LCM of Fractions for 557/842, 500/258 is 139250.