Least Common Multiple of 66/30, 75/53, 44/42, 90/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/30, 75/53, 44/42, 90/876 quickly i.e. 9900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/30, 75/53, 44/42, 90/876 is 9900.

LCM(66/30, 75/53, 44/42, 90/876) = 9900

LCM of 66/30, 75/53, 44/42, 90/876

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 66/30,75/53,44/42,90/876

Given numbers are 66/30,75/53,44/42,90/876

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 66,75,44,90

Least Common Multiple of Numerators i.e. LCM of 66,75,44,90 is 9900.

GCF of Denominators means GCF of 30,53,42,876 as per the given fractions.

GCF of 30,53,42,876 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,75,44,90

LCM of Fractions 66/30,75/53,44/42,90/876 is 9900

2 66, 75, 44, 90
3 33, 75, 22, 45
5 11, 25, 22, 15
11 11, 5, 22, 3
1, 5, 2, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 5 x 2 x 3 = 9900

Least Common Multiple of 66,75,44,90 with GCF Formula

Least Common Multiple of 66,75,44,90 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 66,75,44,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,75,44,90) = 1

common factors(in case of two or more numbers have common factors) = 1980

GCF(66,75,44,90) x common factors =1 x 1980 = 1980

LCM(66,75,44,90) = ( 66 × 75 × 44 × 90 ) / 1980

LCM(66,75,44,90) = 19602000 / 1980

LCM(66,75,44,90) = 9900


Lets's calculate GCF of 30,53,42,876

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9900/1

Therefore the LCM of Fractions 66/30,75/53,44/42,90/876 is 9900

Greatest Common Factor of 30,53,42,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,53,42,876 By Matching Biggest Common Factor Method

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 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 30,53,42,876 . The biggest common factor number is the GCF number.
So the greatest common factor 30,53,42,876 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 66/30, 75/53, 44/42, 90/876

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 66/30, 75/53, 44/42, 90/876?

Answer: LCM of Numerators as per given numbers 66/30, 75/53, 44/42, 90/876 is

LCM of Numerators i.e. for 66,75,44,90 is 9900

GCF of denominators i.e. for 30,53,42,876 is 1.

Thus, LCM of Fractions is 9900.Finally, LCM of Fractions for 66/30, 75/53, 44/42, 90/876 is 9900.