Least Common Multiple of 77/76, 61/30, 10/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/76, 61/30, 10/992 quickly i.e. 23485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/76, 61/30, 10/992 is 23485.

LCM(77/76, 61/30, 10/992) = 23485

LCM of 77/76, 61/30, 10/992

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 77/76,61/30,10/992

Given numbers are 77/76,61/30,10/992

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 77,61,10

Least Common Multiple of Numerators i.e. LCM of 77,61,10 is 46970.

GCF of Denominators means GCF of 76,30,992 as per the given fractions.

GCF of 76,30,992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,61,10

LCM of Fractions 77/76,61/30,10/992 is 23485

Given numbers has no common factors except 1. So, there LCM is their product i.e 46970

Least Common Multiple of 77,61,10 with GCF Formula

Least Common Multiple of 77,61,10 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 77,61,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,61,10) = 1

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

GCF(77,61,10) x common factors =1 x 1 = 1

LCM(77,61,10) = ( 77 × 61 × 10 ) / 1

LCM(77,61,10) = 46970 / 1

LCM(77,61,10) = 46970


Lets's calculate GCF of 76,30,992

2 76, 30, 992
38, 15, 496

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46970/2

Therefore the LCM of Fractions 77/76,61/30,10/992 is 23485

Greatest Common Factor of 76,30,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,30,992 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 76,30,992 . The biggest common factor number is the GCF number.
So the greatest common factor 76,30,992 is 2.


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 77/76, 61/30, 10/992

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 77/76, 61/30, 10/992?

Answer: LCM of Numerators as per given numbers 77/76, 61/30, 10/992 is

LCM of Numerators i.e. for 77,61,10 is 46970

GCF of denominators i.e. for 76,30,992 is 2.

Thus, LCM of Fractions is 23485.Finally, LCM of Fractions for 77/76, 61/30, 10/992 is 23485.