Least Common Multiple of 74/167, 79/457, 742/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/167, 79/457, 742/105 quickly i.e. 2168866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/167, 79/457, 742/105 is 2168866.

LCM(74/167, 79/457, 742/105) = 2168866

LCM of 74/167, 79/457, 742/105

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 74/167,79/457,742/105

Given numbers are 74/167,79/457,742/105

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 74,79,742

Least Common Multiple of Numerators i.e. LCM of 74,79,742 is 2168866.

GCF of Denominators means GCF of 167,457,105 as per the given fractions.

GCF of 167,457,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,79,742

LCM of Fractions 74/167,79/457,742/105 is 2168866

2 74, 79, 742
37, 79, 371

∴ So the LCM of the given numbers is 2 x 37 x 79 x 371 = 2168866

Least Common Multiple of 74,79,742 with GCF Formula

Least Common Multiple of 74,79,742 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 74,79,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,79,742) = 1

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

GCF(74,79,742) x common factors =1 x 2 = 2

LCM(74,79,742) = ( 74 × 79 × 742 ) / 2

LCM(74,79,742) = 4337732 / 2

LCM(74,79,742) = 2168866


Lets's calculate GCF of 167,457,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2168866/1

Therefore the LCM of Fractions 74/167,79/457,742/105 is 2168866

Greatest Common Factor of 167,457,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,457,105 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 167,457,105 . The biggest common factor number is the GCF number.
So the greatest common factor 167,457,105 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 74/167, 79/457, 742/105

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 74/167, 79/457, 742/105?

Answer: LCM of Numerators as per given numbers 74/167, 79/457, 742/105 is

LCM of Numerators i.e. for 74,79,742 is 2168866

GCF of denominators i.e. for 167,457,105 is 1.

Thus, LCM of Fractions is 2168866.Finally, LCM of Fractions for 74/167, 79/457, 742/105 is 2168866.