Least Common Multiple of 77/89, 68/99, 78/37, 21/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/89, 68/99, 78/37, 21/983 quickly i.e. 204204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/89, 68/99, 78/37, 21/983 is 204204.

LCM(77/89, 68/99, 78/37, 21/983) = 204204

LCM of 77/89, 68/99, 78/37, 21/983

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 77/89,68/99,78/37,21/983

Given numbers are 77/89,68/99,78/37,21/983

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 77,68,78,21

Least Common Multiple of Numerators i.e. LCM of 77,68,78,21 is 204204.

GCF of Denominators means GCF of 89,99,37,983 as per the given fractions.

GCF of 89,99,37,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,68,78,21

LCM of Fractions 77/89,68/99,78/37,21/983 is 204204

2 77, 68, 78, 21
3 77, 34, 39, 21
7 77, 34, 13, 7
11, 34, 13, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 34 x 13 x 1 = 204204

Least Common Multiple of 77,68,78,21 with GCF Formula

Least Common Multiple of 77,68,78,21 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 77,68,78,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,68,78,21) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(77,68,78,21) x common factors =1 x 42 = 42

LCM(77,68,78,21) = ( 77 × 68 × 78 × 21 ) / 42

LCM(77,68,78,21) = 8576568 / 42

LCM(77,68,78,21) = 204204


Lets's calculate GCF of 89,99,37,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204204/1

Therefore the LCM of Fractions 77/89,68/99,78/37,21/983 is 204204

Greatest Common Factor of 89,99,37,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,99,37,983 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 89,99,37,983 . The biggest common factor number is the GCF number.
So the greatest common factor 89,99,37,983 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 77/89, 68/99, 78/37, 21/983

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 77/89, 68/99, 78/37, 21/983?

Answer: LCM of Numerators as per given numbers 77/89, 68/99, 78/37, 21/983 is

LCM of Numerators i.e. for 77,68,78,21 is 204204

GCF of denominators i.e. for 89,99,37,983 is 1.

Thus, LCM of Fractions is 204204.Finally, LCM of Fractions for 77/89, 68/99, 78/37, 21/983 is 204204.