Least Common Multiple of 163/87, 735/82, 974/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 163/87, 735/82, 974/472 quickly i.e. 116690070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/87, 735/82, 974/472 is 116690070.

LCM(163/87, 735/82, 974/472) = 116690070

LCM of 163/87, 735/82, 974/472

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 163/87,735/82,974/472

Given numbers are 163/87,735/82,974/472

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 163,735,974

Least Common Multiple of Numerators i.e. LCM of 163,735,974 is 116690070.

GCF of Denominators means GCF of 87,82,472 as per the given fractions.

GCF of 87,82,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,735,974

LCM of Fractions 163/87,735/82,974/472 is 116690070

Given numbers has no common factors except 1. So, there LCM is their product i.e 116690070

Least Common Multiple of 163,735,974 with GCF Formula

Least Common Multiple of 163,735,974 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 163,735,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,735,974) = 1

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

GCF(163,735,974) x common factors =1 x 1 = 1

LCM(163,735,974) = ( 163 × 735 × 974 ) / 1

LCM(163,735,974) = 116690070 / 1

LCM(163,735,974) = 116690070


Lets's calculate GCF of 87,82,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116690070/1

Therefore the LCM of Fractions 163/87,735/82,974/472 is 116690070

Greatest Common Factor of 87,82,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,82,472 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 87,82,472 . The biggest common factor number is the GCF number.
So the greatest common factor 87,82,472 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 163/87, 735/82, 974/472

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 163/87, 735/82, 974/472?

Answer: LCM of Numerators as per given numbers 163/87, 735/82, 974/472 is

LCM of Numerators i.e. for 163,735,974 is 116690070

GCF of denominators i.e. for 87,82,472 is 1.

Thus, LCM of Fractions is 116690070.Finally, LCM of Fractions for 163/87, 735/82, 974/472 is 116690070.