Least Common Multiple of 37/842, 56/911, 381/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/842, 56/911, 381/900 quickly i.e. 789432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/842, 56/911, 381/900 is 789432.

LCM(37/842, 56/911, 381/900) = 789432

LCM of 37/842, 56/911, 381/900

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 37/842,56/911,381/900

Given numbers are 37/842,56/911,381/900

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 37,56,381

Least Common Multiple of Numerators i.e. LCM of 37,56,381 is 789432.

GCF of Denominators means GCF of 842,911,900 as per the given fractions.

GCF of 842,911,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,56,381

LCM of Fractions 37/842,56/911,381/900 is 789432

Given numbers has no common factors except 1. So, there LCM is their product i.e 789432

Least Common Multiple of 37,56,381 with GCF Formula

Least Common Multiple of 37,56,381 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 37,56,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,56,381) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,56,381) x common factors =1 x 1 = 1

LCM(37,56,381) = ( 37 × 56 × 381 ) / 1

LCM(37,56,381) = 789432 / 1

LCM(37,56,381) = 789432


Lets's calculate GCF of 842,911,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 789432/1

Therefore the LCM of Fractions 37/842,56/911,381/900 is 789432

Greatest Common Factor of 842,911,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,911,900 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 842,911,900 . The biggest common factor number is the GCF number.
So the greatest common factor 842,911,900 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 37/842, 56/911, 381/900

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 37/842, 56/911, 381/900?

Answer: LCM of Numerators as per given numbers 37/842, 56/911, 381/900 is

LCM of Numerators i.e. for 37,56,381 is 789432

GCF of denominators i.e. for 842,911,900 is 1.

Thus, LCM of Fractions is 789432.Finally, LCM of Fractions for 37/842, 56/911, 381/900 is 789432.