Least Common Multiple of 74/919, 42/208, 179/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/919, 42/208, 179/163 quickly i.e. 278166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/919, 42/208, 179/163 is 278166.

LCM(74/919, 42/208, 179/163) = 278166

LCM of 74/919, 42/208, 179/163

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 74/919,42/208,179/163

Given numbers are 74/919,42/208,179/163

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 74,42,179

Least Common Multiple of Numerators i.e. LCM of 74,42,179 is 278166.

GCF of Denominators means GCF of 919,208,163 as per the given fractions.

GCF of 919,208,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,42,179

LCM of Fractions 74/919,42/208,179/163 is 278166

2 74, 42, 179
37, 21, 179

∴ So the LCM of the given numbers is 2 x 37 x 21 x 179 = 278166

Least Common Multiple of 74,42,179 with GCF Formula

Least Common Multiple of 74,42,179 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 74,42,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,42,179) = 1

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

GCF(74,42,179) x common factors =1 x 2 = 2

LCM(74,42,179) = ( 74 × 42 × 179 ) / 2

LCM(74,42,179) = 556332 / 2

LCM(74,42,179) = 278166


Lets's calculate GCF of 919,208,163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278166/1

Therefore the LCM of Fractions 74/919,42/208,179/163 is 278166

Greatest Common Factor of 919,208,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,208,163 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 919,208,163 . The biggest common factor number is the GCF number.
So the greatest common factor 919,208,163 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 74/919, 42/208, 179/163

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 74/919, 42/208, 179/163?

Answer: LCM of Numerators as per given numbers 74/919, 42/208, 179/163 is

LCM of Numerators i.e. for 74,42,179 is 278166

GCF of denominators i.e. for 919,208,163 is 1.

Thus, LCM of Fractions is 278166.Finally, LCM of Fractions for 74/919, 42/208, 179/163 is 278166.