Least Common Multiple of 762/77, 231/75, 597/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/77, 231/75, 597/60 quickly i.e. 11676126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/77, 231/75, 597/60 is 11676126.

LCM(762/77, 231/75, 597/60) = 11676126

LCM of 762/77, 231/75, 597/60

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 762/77,231/75,597/60

Given numbers are 762/77,231/75,597/60

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 762,231,597

Least Common Multiple of Numerators i.e. LCM of 762,231,597 is 11676126.

GCF of Denominators means GCF of 77,75,60 as per the given fractions.

GCF of 77,75,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,231,597

LCM of Fractions 762/77,231/75,597/60 is 11676126

3 762, 231, 597
254, 77, 199

∴ So the LCM of the given numbers is 3 x 254 x 77 x 199 = 11676126

Least Common Multiple of 762,231,597 with GCF Formula

Least Common Multiple of 762,231,597 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 762,231,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,231,597) = 3

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

GCF(762,231,597) x common factors =3 x 3 = 9

LCM(762,231,597) = ( 762 × 231 × 597 ) / 9

LCM(762,231,597) = 105085134 / 9

LCM(762,231,597) = 11676126


Lets's calculate GCF of 77,75,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11676126/1

Therefore the LCM of Fractions 762/77,231/75,597/60 is 11676126

Greatest Common Factor of 77,75,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,75,60 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 77,75,60 . The biggest common factor number is the GCF number.
So the greatest common factor 77,75,60 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 762/77, 231/75, 597/60

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 762/77, 231/75, 597/60?

Answer: LCM of Numerators as per given numbers 762/77, 231/75, 597/60 is

LCM of Numerators i.e. for 762,231,597 is 11676126

GCF of denominators i.e. for 77,75,60 is 1.

Thus, LCM of Fractions is 11676126.Finally, LCM of Fractions for 762/77, 231/75, 597/60 is 11676126.