Least Common Multiple of 772/15, 645/51, 190/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/15, 645/51, 190/123 quickly i.e. 3153620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/15, 645/51, 190/123 is 3153620.

LCM(772/15, 645/51, 190/123) = 3153620

LCM of 772/15, 645/51, 190/123

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 772/15,645/51,190/123

Given numbers are 772/15,645/51,190/123

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 772,645,190

Least Common Multiple of Numerators i.e. LCM of 772,645,190 is 9460860.

GCF of Denominators means GCF of 15,51,123 as per the given fractions.

GCF of 15,51,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,645,190

LCM of Fractions 772/15,645/51,190/123 is 3153620

2 772, 645, 190
5 386, 645, 95
386, 129, 19

∴ So the LCM of the given numbers is 2 x 5 x 386 x 129 x 19 = 9460860

Least Common Multiple of 772,645,190 with GCF Formula

Least Common Multiple of 772,645,190 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 772,645,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,645,190) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(772,645,190) x common factors =1 x 10 = 10

LCM(772,645,190) = ( 772 × 645 × 190 ) / 10

LCM(772,645,190) = 94608600 / 10

LCM(772,645,190) = 9460860


Lets's calculate GCF of 15,51,123

3 15, 51, 123
5, 17, 41

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9460860/3

Therefore the LCM of Fractions 772/15,645/51,190/123 is 3153620

Greatest Common Factor of 15,51,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,51,123 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 15,51,123 . The biggest common factor number is the GCF number.
So the greatest common factor 15,51,123 is 3.


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 772/15, 645/51, 190/123

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 772/15, 645/51, 190/123?

Answer: LCM of Numerators as per given numbers 772/15, 645/51, 190/123 is

LCM of Numerators i.e. for 772,645,190 is 9460860

GCF of denominators i.e. for 15,51,123 is 3.

Thus, LCM of Fractions is 3153620.Finally, LCM of Fractions for 772/15, 645/51, 190/123 is 3153620.