Least Common Multiple of 615/50, 780/4157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 615/50, 780/4157 quickly i.e. 31980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/50, 780/4157 is 31980.

LCM(615/50, 780/4157) = 31980

LCM of 615/50, 780/4157

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 615/50,780/4157

Given numbers are 615/50,780/4157

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 615,780

Least Common Multiple of Numerators i.e. LCM of 615,780 is 31980.

GCF of Denominators means GCF of 50,4157 as per the given fractions.

GCF of 50,4157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,780

LCM of Fractions 615/50,780/4157 is 31980

3 615, 780
5 205, 260
41, 52

∴ So the LCM of the given numbers is 3 x 5 x 41 x 52 = 31980

Least Common Multiple of 615,780 with GCF Formula

Least Common Multiple of 615,780 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 615,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,780) = 15

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

GCF(615,780) x common factors =15 x 1 = 15

LCM(615,780) = ( 615 × 780 ) / 15

LCM(615,780) = 479700 / 15

LCM(615,780) = 31980


Lets's calculate GCF of 50,4157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31980/1

Therefore the LCM of Fractions 615/50,780/4157 is 31980

Greatest Common Factor of 50,4157 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,4157 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 4157

List of positive integer factors of 4157 that divides 4157 without a remainder.

1,4157

Greatest Common Factor

We found the factors 50,4157 . The biggest common factor number is the GCF number.
So the greatest common factor 50,4157 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 615/50, 780/4157

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 615/50, 780/4157?

Answer: LCM of Numerators as per given numbers 615/50, 780/4157 is

LCM of Numerators i.e. for 615,780 is 31980

GCF of denominators i.e. for 50,4157 is 1.

Thus, LCM of Fractions is 31980.Finally, LCM of Fractions for 615/50, 780/4157 is 31980.