Least Common Multiple of 53/89, 222/82, 167/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/89, 222/82, 167/748 quickly i.e. 1964922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/89, 222/82, 167/748 is 1964922.

LCM(53/89, 222/82, 167/748) = 1964922

LCM of 53/89, 222/82, 167/748

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 53/89,222/82,167/748

Given numbers are 53/89,222/82,167/748

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 53,222,167

Least Common Multiple of Numerators i.e. LCM of 53,222,167 is 1964922.

GCF of Denominators means GCF of 89,82,748 as per the given fractions.

GCF of 89,82,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,222,167

LCM of Fractions 53/89,222/82,167/748 is 1964922

Given numbers has no common factors except 1. So, there LCM is their product i.e 1964922

Least Common Multiple of 53,222,167 with GCF Formula

Least Common Multiple of 53,222,167 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 53,222,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,222,167) = 1

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

GCF(53,222,167) x common factors =1 x 1 = 1

LCM(53,222,167) = ( 53 × 222 × 167 ) / 1

LCM(53,222,167) = 1964922 / 1

LCM(53,222,167) = 1964922


Lets's calculate GCF of 89,82,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1964922/1

Therefore the LCM of Fractions 53/89,222/82,167/748 is 1964922

Greatest Common Factor of 89,82,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,82,748 By Matching Biggest Common Factor Method

Factors of 89

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

1,89

Factors of 82

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

1,2,41,82

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 89,82,748 . The biggest common factor number is the GCF number.
So the greatest common factor 89,82,748 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/89, 222/82, 167/748

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 53/89, 222/82, 167/748?

Answer: LCM of Numerators as per given numbers 53/89, 222/82, 167/748 is

LCM of Numerators i.e. for 53,222,167 is 1964922

GCF of denominators i.e. for 89,82,748 is 1.

Thus, LCM of Fractions is 1964922.Finally, LCM of Fractions for 53/89, 222/82, 167/748 is 1964922.