Least Common Multiple of 558/35, 232/12, 116/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 558/35, 232/12, 116/522 quickly i.e. 64728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/35, 232/12, 116/522 is 64728.

LCM(558/35, 232/12, 116/522) = 64728

LCM of 558/35, 232/12, 116/522

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 558/35,232/12,116/522

Given numbers are 558/35,232/12,116/522

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 558,232,116

Least Common Multiple of Numerators i.e. LCM of 558,232,116 is 64728.

GCF of Denominators means GCF of 35,12,522 as per the given fractions.

GCF of 35,12,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,232,116

LCM of Fractions 558/35,232/12,116/522 is 64728

2 558, 232, 116
2 279, 116, 58
29 279, 29, 58
279, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 29 x 279 x 1 x 2 = 64728

Least Common Multiple of 558,232,116 with GCF Formula

Least Common Multiple of 558,232,116 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 558,232,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,232,116) = 2

common factors(in case of two or more numbers have common factors) = 116

GCF(558,232,116) x common factors =2 x 116 = 232

LCM(558,232,116) = ( 558 × 232 × 116 ) / 232

LCM(558,232,116) = 15016896 / 232

LCM(558,232,116) = 64728


Lets's calculate GCF of 35,12,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64728/1

Therefore the LCM of Fractions 558/35,232/12,116/522 is 64728

Greatest Common Factor of 35,12,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,12,522 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 35,12,522 . The biggest common factor number is the GCF number.
So the greatest common factor 35,12,522 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 558/35, 232/12, 116/522

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 558/35, 232/12, 116/522?

Answer: LCM of Numerators as per given numbers 558/35, 232/12, 116/522 is

LCM of Numerators i.e. for 558,232,116 is 64728

GCF of denominators i.e. for 35,12,522 is 1.

Thus, LCM of Fractions is 64728.Finally, LCM of Fractions for 558/35, 232/12, 116/522 is 64728.