Least Common Multiple of 42/375, 315/844, 776/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/375, 315/844, 776/721 quickly i.e. 244440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/375, 315/844, 776/721 is 244440.

LCM(42/375, 315/844, 776/721) = 244440

LCM of 42/375, 315/844, 776/721

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 42/375,315/844,776/721

Given numbers are 42/375,315/844,776/721

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 42,315,776

Least Common Multiple of Numerators i.e. LCM of 42,315,776 is 244440.

GCF of Denominators means GCF of 375,844,721 as per the given fractions.

GCF of 375,844,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,315,776

LCM of Fractions 42/375,315/844,776/721 is 244440

2 42, 315, 776
3 21, 315, 388
7 7, 105, 388
1, 15, 388

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 15 x 388 = 244440

Least Common Multiple of 42,315,776 with GCF Formula

Least Common Multiple of 42,315,776 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 42,315,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,315,776) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(42,315,776) x common factors =1 x 42 = 42

LCM(42,315,776) = ( 42 × 315 × 776 ) / 42

LCM(42,315,776) = 10266480 / 42

LCM(42,315,776) = 244440


Lets's calculate GCF of 375,844,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244440/1

Therefore the LCM of Fractions 42/375,315/844,776/721 is 244440

Greatest Common Factor of 375,844,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,844,721 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 375,844,721 . The biggest common factor number is the GCF number.
So the greatest common factor 375,844,721 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 42/375, 315/844, 776/721

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 42/375, 315/844, 776/721?

Answer: LCM of Numerators as per given numbers 42/375, 315/844, 776/721 is

LCM of Numerators i.e. for 42,315,776 is 244440

GCF of denominators i.e. for 375,844,721 is 1.

Thus, LCM of Fractions is 244440.Finally, LCM of Fractions for 42/375, 315/844, 776/721 is 244440.