Least Common Multiple of 74/889, 22/986, 167/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/889, 22/986, 167/472 quickly i.e. 135938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/889, 22/986, 167/472 is 135938.

LCM(74/889, 22/986, 167/472) = 135938

LCM of 74/889, 22/986, 167/472

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 74/889,22/986,167/472

Given numbers are 74/889,22/986,167/472

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 74,22,167

Least Common Multiple of Numerators i.e. LCM of 74,22,167 is 135938.

GCF of Denominators means GCF of 889,986,472 as per the given fractions.

GCF of 889,986,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,22,167

LCM of Fractions 74/889,22/986,167/472 is 135938

2 74, 22, 167
37, 11, 167

∴ So the LCM of the given numbers is 2 x 37 x 11 x 167 = 135938

Least Common Multiple of 74,22,167 with GCF Formula

Least Common Multiple of 74,22,167 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 74,22,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,22,167) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,22,167) x common factors =1 x 2 = 2

LCM(74,22,167) = ( 74 × 22 × 167 ) / 2

LCM(74,22,167) = 271876 / 2

LCM(74,22,167) = 135938


Lets's calculate GCF of 889,986,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135938/1

Therefore the LCM of Fractions 74/889,22/986,167/472 is 135938

Greatest Common Factor of 889,986,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,986,472 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

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 889,986,472 . The biggest common factor number is the GCF number.
So the greatest common factor 889,986,472 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 74/889, 22/986, 167/472

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 74/889, 22/986, 167/472?

Answer: LCM of Numerators as per given numbers 74/889, 22/986, 167/472 is

LCM of Numerators i.e. for 74,22,167 is 135938

GCF of denominators i.e. for 889,986,472 is 1.

Thus, LCM of Fractions is 135938.Finally, LCM of Fractions for 74/889, 22/986, 167/472 is 135938.