Least Common Multiple of 78/94, 88/49, 635/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/94, 88/49, 635/119 quickly i.e. 2179320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/94, 88/49, 635/119 is 2179320.

LCM(78/94, 88/49, 635/119) = 2179320

LCM of 78/94, 88/49, 635/119

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 78/94,88/49,635/119

Given numbers are 78/94,88/49,635/119

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 78,88,635

Least Common Multiple of Numerators i.e. LCM of 78,88,635 is 2179320.

GCF of Denominators means GCF of 94,49,119 as per the given fractions.

GCF of 94,49,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,88,635

LCM of Fractions 78/94,88/49,635/119 is 2179320

2 78, 88, 635
39, 44, 635

∴ So the LCM of the given numbers is 2 x 39 x 44 x 635 = 2179320

Least Common Multiple of 78,88,635 with GCF Formula

Least Common Multiple of 78,88,635 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 78,88,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,88,635) = 1

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

GCF(78,88,635) x common factors =1 x 2 = 2

LCM(78,88,635) = ( 78 × 88 × 635 ) / 2

LCM(78,88,635) = 4358640 / 2

LCM(78,88,635) = 2179320


Lets's calculate GCF of 94,49,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2179320/1

Therefore the LCM of Fractions 78/94,88/49,635/119 is 2179320

Greatest Common Factor of 94,49,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,49,119 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 94,49,119 . The biggest common factor number is the GCF number.
So the greatest common factor 94,49,119 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 78/94, 88/49, 635/119

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 78/94, 88/49, 635/119?

Answer: LCM of Numerators as per given numbers 78/94, 88/49, 635/119 is

LCM of Numerators i.e. for 78,88,635 is 2179320

GCF of denominators i.e. for 94,49,119 is 1.

Thus, LCM of Fractions is 2179320.Finally, LCM of Fractions for 78/94, 88/49, 635/119 is 2179320.