Least Common Multiple of 37/780, 73/976, 624/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/780, 73/976, 624/869 quickly i.e. 1685424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/780, 73/976, 624/869 is 1685424.

LCM(37/780, 73/976, 624/869) = 1685424

LCM of 37/780, 73/976, 624/869

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 37/780,73/976,624/869

Given numbers are 37/780,73/976,624/869

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 37,73,624

Least Common Multiple of Numerators i.e. LCM of 37,73,624 is 1685424.

GCF of Denominators means GCF of 780,976,869 as per the given fractions.

GCF of 780,976,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,73,624

LCM of Fractions 37/780,73/976,624/869 is 1685424

Given numbers has no common factors except 1. So, there LCM is their product i.e 1685424

Least Common Multiple of 37,73,624 with GCF Formula

Least Common Multiple of 37,73,624 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 37,73,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,73,624) = 1

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

GCF(37,73,624) x common factors =1 x 1 = 1

LCM(37,73,624) = ( 37 × 73 × 624 ) / 1

LCM(37,73,624) = 1685424 / 1

LCM(37,73,624) = 1685424


Lets's calculate GCF of 780,976,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1685424/1

Therefore the LCM of Fractions 37/780,73/976,624/869 is 1685424

Greatest Common Factor of 780,976,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,976,869 By Matching Biggest Common Factor Method

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

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 780,976,869 . The biggest common factor number is the GCF number.
So the greatest common factor 780,976,869 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 37/780, 73/976, 624/869

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 37/780, 73/976, 624/869?

Answer: LCM of Numerators as per given numbers 37/780, 73/976, 624/869 is

LCM of Numerators i.e. for 37,73,624 is 1685424

GCF of denominators i.e. for 780,976,869 is 1.

Thus, LCM of Fractions is 1685424.Finally, LCM of Fractions for 37/780, 73/976, 624/869 is 1685424.