Least Common Multiple of 780/41, 217/96, 669/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/41, 217/96, 669/857 quickly i.e. 37744980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/41, 217/96, 669/857 is 37744980.

LCM(780/41, 217/96, 669/857) = 37744980

LCM of 780/41, 217/96, 669/857

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 780/41,217/96,669/857

Given numbers are 780/41,217/96,669/857

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 780,217,669

Least Common Multiple of Numerators i.e. LCM of 780,217,669 is 37744980.

GCF of Denominators means GCF of 41,96,857 as per the given fractions.

GCF of 41,96,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,217,669

LCM of Fractions 780/41,217/96,669/857 is 37744980

3 780, 217, 669
260, 217, 223

∴ So the LCM of the given numbers is 3 x 260 x 217 x 223 = 37744980

Least Common Multiple of 780,217,669 with GCF Formula

Least Common Multiple of 780,217,669 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 780,217,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,217,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(780,217,669) x common factors =1 x 3 = 3

LCM(780,217,669) = ( 780 × 217 × 669 ) / 3

LCM(780,217,669) = 113234940 / 3

LCM(780,217,669) = 37744980


Lets's calculate GCF of 41,96,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37744980/1

Therefore the LCM of Fractions 780/41,217/96,669/857 is 37744980

Greatest Common Factor of 41,96,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,96,857 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 41,96,857 . The biggest common factor number is the GCF number.
So the greatest common factor 41,96,857 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 780/41, 217/96, 669/857

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 780/41, 217/96, 669/857?

Answer: LCM of Numerators as per given numbers 780/41, 217/96, 669/857 is

LCM of Numerators i.e. for 780,217,669 is 37744980

GCF of denominators i.e. for 41,96,857 is 1.

Thus, LCM of Fractions is 37744980.Finally, LCM of Fractions for 780/41, 217/96, 669/857 is 37744980.