Least Common Multiple of 505/39, 237/55, 644/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/39, 237/55, 644/372 quickly i.e. 77077140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/39, 237/55, 644/372 is 77077140.

LCM(505/39, 237/55, 644/372) = 77077140

LCM of 505/39, 237/55, 644/372

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 505/39,237/55,644/372

Given numbers are 505/39,237/55,644/372

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 505,237,644

Least Common Multiple of Numerators i.e. LCM of 505,237,644 is 77077140.

GCF of Denominators means GCF of 39,55,372 as per the given fractions.

GCF of 39,55,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,237,644

LCM of Fractions 505/39,237/55,644/372 is 77077140

Given numbers has no common factors except 1. So, there LCM is their product i.e 77077140

Least Common Multiple of 505,237,644 with GCF Formula

Least Common Multiple of 505,237,644 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 505,237,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,237,644) = 1

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

GCF(505,237,644) x common factors =1 x 1 = 1

LCM(505,237,644) = ( 505 × 237 × 644 ) / 1

LCM(505,237,644) = 77077140 / 1

LCM(505,237,644) = 77077140


Lets's calculate GCF of 39,55,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77077140/1

Therefore the LCM of Fractions 505/39,237/55,644/372 is 77077140

Greatest Common Factor of 39,55,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,55,372 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 39,55,372 . The biggest common factor number is the GCF number.
So the greatest common factor 39,55,372 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 505/39, 237/55, 644/372

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 505/39, 237/55, 644/372?

Answer: LCM of Numerators as per given numbers 505/39, 237/55, 644/372 is

LCM of Numerators i.e. for 505,237,644 is 77077140

GCF of denominators i.e. for 39,55,372 is 1.

Thus, LCM of Fractions is 77077140.Finally, LCM of Fractions for 505/39, 237/55, 644/372 is 77077140.