Least Common Multiple of 30/669, 50/195, 772/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/669, 50/195, 772/957 quickly i.e. 19300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/669, 50/195, 772/957 is 19300.

LCM(30/669, 50/195, 772/957) = 19300

LCM of 30/669, 50/195, 772/957

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 30/669,50/195,772/957

Given numbers are 30/669,50/195,772/957

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 30,50,772

Least Common Multiple of Numerators i.e. LCM of 30,50,772 is 57900.

GCF of Denominators means GCF of 669,195,957 as per the given fractions.

GCF of 669,195,957 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,50,772

LCM of Fractions 30/669,50/195,772/957 is 19300

2 30, 50, 772
5 15, 25, 386
3, 5, 386

∴ So the LCM of the given numbers is 2 x 5 x 3 x 5 x 386 = 57900

Least Common Multiple of 30,50,772 with GCF Formula

Least Common Multiple of 30,50,772 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 30,50,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,50,772) = 2

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

GCF(30,50,772) x common factors =2 x 10 = 20

LCM(30,50,772) = ( 30 × 50 × 772 ) / 20

LCM(30,50,772) = 1158000 / 20

LCM(30,50,772) = 57900


Lets's calculate GCF of 669,195,957

3 669, 195, 957
223, 65, 319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57900/3

Therefore the LCM of Fractions 30/669,50/195,772/957 is 19300

Greatest Common Factor of 669,195,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,195,957 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 669,195,957 . The biggest common factor number is the GCF number.
So the greatest common factor 669,195,957 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 30/669, 50/195, 772/957

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 30/669, 50/195, 772/957?

Answer: LCM of Numerators as per given numbers 30/669, 50/195, 772/957 is

LCM of Numerators i.e. for 30,50,772 is 57900

GCF of denominators i.e. for 669,195,957 is 3.

Thus, LCM of Fractions is 19300.Finally, LCM of Fractions for 30/669, 50/195, 772/957 is 19300.