Least Common Multiple of 232/558, 8172/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 232/558, 8172/901 quickly i.e. 473976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/558, 8172/901 is 473976.

LCM(232/558, 8172/901) = 473976

LCM of 232/558, 8172/901

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 232/558,8172/901

Given numbers are 232/558,8172/901

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 232,8172

Least Common Multiple of Numerators i.e. LCM of 232,8172 is 473976.

GCF of Denominators means GCF of 558,901 as per the given fractions.

GCF of 558,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,8172

LCM of Fractions 232/558,8172/901 is 473976

2 232, 8172
2 116, 4086
58, 2043

∴ So the LCM of the given numbers is 2 x 2 x 58 x 2043 = 473976

Least Common Multiple of 232,8172 with GCF Formula

Least Common Multiple of 232,8172 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 232,8172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,8172) = 4

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

GCF(232,8172) x common factors =4 x 1 = 4

LCM(232,8172) = ( 232 × 8172 ) / 4

LCM(232,8172) = 1895904 / 4

LCM(232,8172) = 473976


Lets's calculate GCF of 558,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473976/1

Therefore the LCM of Fractions 232/558,8172/901 is 473976

Greatest Common Factor of 558,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,901 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 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 558,901 . The biggest common factor number is the GCF number.
So the greatest common factor 558,901 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 232/558, 8172/901

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 232/558, 8172/901?

Answer: LCM of Numerators as per given numbers 232/558, 8172/901 is

LCM of Numerators i.e. for 232,8172 is 473976

GCF of denominators i.e. for 558,901 is 1.

Thus, LCM of Fractions is 473976.Finally, LCM of Fractions for 232/558, 8172/901 is 473976.