Least Common Multiple of 42/844, 250/314, 380/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/844, 250/314, 380/780 quickly i.e. 99750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/844, 250/314, 380/780 is 99750.

LCM(42/844, 250/314, 380/780) = 99750

LCM of 42/844, 250/314, 380/780

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 42/844,250/314,380/780

Given numbers are 42/844,250/314,380/780

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 42,250,380

Least Common Multiple of Numerators i.e. LCM of 42,250,380 is 199500.

GCF of Denominators means GCF of 844,314,780 as per the given fractions.

GCF of 844,314,780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,250,380

LCM of Fractions 42/844,250/314,380/780 is 99750

2 42, 250, 380
5 21, 125, 190
21, 25, 38

∴ So the LCM of the given numbers is 2 x 5 x 21 x 25 x 38 = 199500

Least Common Multiple of 42,250,380 with GCF Formula

Least Common Multiple of 42,250,380 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 42,250,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,250,380) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(42,250,380) x common factors =2 x 10 = 20

LCM(42,250,380) = ( 42 × 250 × 380 ) / 20

LCM(42,250,380) = 3990000 / 20

LCM(42,250,380) = 199500


Lets's calculate GCF of 844,314,780

2 844, 314, 780
422, 157, 390

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199500/2

Therefore the LCM of Fractions 42/844,250/314,380/780 is 99750

Greatest Common Factor of 844,314,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,314,780 By Matching Biggest Common Factor Method

Factors of 844

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

1,2,4,211,422,844

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 844,314,780 . The biggest common factor number is the GCF number.
So the greatest common factor 844,314,780 is 2.


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 42/844, 250/314, 380/780

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 42/844, 250/314, 380/780?

Answer: LCM of Numerators as per given numbers 42/844, 250/314, 380/780 is

LCM of Numerators i.e. for 42,250,380 is 199500

GCF of denominators i.e. for 844,314,780 is 2.

Thus, LCM of Fractions is 99750.Finally, LCM of Fractions for 42/844, 250/314, 380/780 is 99750.