Least Common Multiple of 48/558, 91/989, 116/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/558, 91/989, 116/818 quickly i.e. 126672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/558, 91/989, 116/818 is 126672.

LCM(48/558, 91/989, 116/818) = 126672

LCM of 48/558, 91/989, 116/818

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 48/558,91/989,116/818

Given numbers are 48/558,91/989,116/818

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 48,91,116

Least Common Multiple of Numerators i.e. LCM of 48,91,116 is 126672.

GCF of Denominators means GCF of 558,989,818 as per the given fractions.

GCF of 558,989,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,91,116

LCM of Fractions 48/558,91/989,116/818 is 126672

2 48, 91, 116
2 24, 91, 58
12, 91, 29

∴ So the LCM of the given numbers is 2 x 2 x 12 x 91 x 29 = 126672

Least Common Multiple of 48,91,116 with GCF Formula

Least Common Multiple of 48,91,116 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 48,91,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,91,116) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(48,91,116) x common factors =1 x 4 = 4

LCM(48,91,116) = ( 48 × 91 × 116 ) / 4

LCM(48,91,116) = 506688 / 4

LCM(48,91,116) = 126672


Lets's calculate GCF of 558,989,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126672/1

Therefore the LCM of Fractions 48/558,91/989,116/818 is 126672

Greatest Common Factor of 558,989,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,989,818 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 558,989,818 . The biggest common factor number is the GCF number.
So the greatest common factor 558,989,818 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 48/558, 91/989, 116/818

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 48/558, 91/989, 116/818?

Answer: LCM of Numerators as per given numbers 48/558, 91/989, 116/818 is

LCM of Numerators i.e. for 48,91,116 is 126672

GCF of denominators i.e. for 558,989,818 is 1.

Thus, LCM of Fractions is 126672.Finally, LCM of Fractions for 48/558, 91/989, 116/818 is 126672.