Least Common Multiple of 558/94, 140/89, 249/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/94, 140/89, 249/113 quickly i.e. 3241980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/94, 140/89, 249/113 is 3241980.

LCM(558/94, 140/89, 249/113) = 3241980

LCM of 558/94, 140/89, 249/113

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 558/94,140/89,249/113

Given numbers are 558/94,140/89,249/113

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 558,140,249

Least Common Multiple of Numerators i.e. LCM of 558,140,249 is 3241980.

GCF of Denominators means GCF of 94,89,113 as per the given fractions.

GCF of 94,89,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,140,249

LCM of Fractions 558/94,140/89,249/113 is 3241980

2 558, 140, 249
3 279, 70, 249
93, 70, 83

∴ So the LCM of the given numbers is 2 x 3 x 93 x 70 x 83 = 3241980

Least Common Multiple of 558,140,249 with GCF Formula

Least Common Multiple of 558,140,249 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 558,140,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,140,249) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(558,140,249) x common factors =1 x 6 = 6

LCM(558,140,249) = ( 558 × 140 × 249 ) / 6

LCM(558,140,249) = 19451880 / 6

LCM(558,140,249) = 3241980


Lets's calculate GCF of 94,89,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3241980/1

Therefore the LCM of Fractions 558/94,140/89,249/113 is 3241980

Greatest Common Factor of 94,89,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,89,113 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 94,89,113 . The biggest common factor number is the GCF number.
So the greatest common factor 94,89,113 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 558/94, 140/89, 249/113

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 558/94, 140/89, 249/113?

Answer: LCM of Numerators as per given numbers 558/94, 140/89, 249/113 is

LCM of Numerators i.e. for 558,140,249 is 3241980

GCF of denominators i.e. for 94,89,113 is 1.

Thus, LCM of Fractions is 3241980.Finally, LCM of Fractions for 558/94, 140/89, 249/113 is 3241980.