Least Common Multiple of 719/278, 319/639, 121/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 719/278, 319/639, 121/378 quickly i.e. 2522971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/278, 319/639, 121/378 is 2522971.

LCM(719/278, 319/639, 121/378) = 2522971

LCM of 719/278, 319/639, 121/378

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 719/278,319/639,121/378

Given numbers are 719/278,319/639,121/378

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 719,319,121

Least Common Multiple of Numerators i.e. LCM of 719,319,121 is 2522971.

GCF of Denominators means GCF of 278,639,378 as per the given fractions.

GCF of 278,639,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,319,121

LCM of Fractions 719/278,319/639,121/378 is 2522971

11 719, 319, 121
719, 29, 11

∴ So the LCM of the given numbers is 11 x 719 x 29 x 11 = 2522971

Least Common Multiple of 719,319,121 with GCF Formula

Least Common Multiple of 719,319,121 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 719,319,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,319,121) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(719,319,121) x common factors =1 x 11 = 11

LCM(719,319,121) = ( 719 × 319 × 121 ) / 11

LCM(719,319,121) = 27752681 / 11

LCM(719,319,121) = 2522971


Lets's calculate GCF of 278,639,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2522971/1

Therefore the LCM of Fractions 719/278,319/639,121/378 is 2522971

Greatest Common Factor of 278,639,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,639,378 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 278,639,378 . The biggest common factor number is the GCF number.
So the greatest common factor 278,639,378 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 719/278, 319/639, 121/378

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 719/278, 319/639, 121/378?

Answer: LCM of Numerators as per given numbers 719/278, 319/639, 121/378 is

LCM of Numerators i.e. for 719,319,121 is 2522971

GCF of denominators i.e. for 278,639,378 is 1.

Thus, LCM of Fractions is 2522971.Finally, LCM of Fractions for 719/278, 319/639, 121/378 is 2522971.