Least Common Multiple of 87/279, 88/601, 190/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/279, 88/601, 190/779 quickly i.e. 727320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/279, 88/601, 190/779 is 727320.

LCM(87/279, 88/601, 190/779) = 727320

LCM of 87/279, 88/601, 190/779

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 87/279,88/601,190/779

Given numbers are 87/279,88/601,190/779

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 87,88,190

Least Common Multiple of Numerators i.e. LCM of 87,88,190 is 727320.

GCF of Denominators means GCF of 279,601,779 as per the given fractions.

GCF of 279,601,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,88,190

LCM of Fractions 87/279,88/601,190/779 is 727320

2 87, 88, 190
87, 44, 95

∴ So the LCM of the given numbers is 2 x 87 x 44 x 95 = 727320

Least Common Multiple of 87,88,190 with GCF Formula

Least Common Multiple of 87,88,190 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 87,88,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,88,190) = 1

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

GCF(87,88,190) x common factors =1 x 2 = 2

LCM(87,88,190) = ( 87 × 88 × 190 ) / 2

LCM(87,88,190) = 1454640 / 2

LCM(87,88,190) = 727320


Lets's calculate GCF of 279,601,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 727320/1

Therefore the LCM of Fractions 87/279,88/601,190/779 is 727320

Greatest Common Factor of 279,601,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,601,779 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 279,601,779 . The biggest common factor number is the GCF number.
So the greatest common factor 279,601,779 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 87/279, 88/601, 190/779

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 87/279, 88/601, 190/779?

Answer: LCM of Numerators as per given numbers 87/279, 88/601, 190/779 is

LCM of Numerators i.e. for 87,88,190 is 727320

GCF of denominators i.e. for 279,601,779 is 1.

Thus, LCM of Fractions is 727320.Finally, LCM of Fractions for 87/279, 88/601, 190/779 is 727320.