Least Common Multiple of 66/54, 991/62, 446/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/54, 991/62, 446/364 quickly i.e. 7292769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/54, 991/62, 446/364 is 7292769.

LCM(66/54, 991/62, 446/364) = 7292769

LCM of 66/54, 991/62, 446/364

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 66/54,991/62,446/364

Given numbers are 66/54,991/62,446/364

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 66,991,446

Least Common Multiple of Numerators i.e. LCM of 66,991,446 is 14585538.

GCF of Denominators means GCF of 54,62,364 as per the given fractions.

GCF of 54,62,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,991,446

LCM of Fractions 66/54,991/62,446/364 is 7292769

2 66, 991, 446
33, 991, 223

∴ So the LCM of the given numbers is 2 x 33 x 991 x 223 = 14585538

Least Common Multiple of 66,991,446 with GCF Formula

Least Common Multiple of 66,991,446 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 66,991,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,991,446) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,991,446) x common factors =1 x 2 = 2

LCM(66,991,446) = ( 66 × 991 × 446 ) / 2

LCM(66,991,446) = 29171076 / 2

LCM(66,991,446) = 14585538


Lets's calculate GCF of 54,62,364

2 54, 62, 364
27, 31, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14585538/2

Therefore the LCM of Fractions 66/54,991/62,446/364 is 7292769

Greatest Common Factor of 54,62,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,62,364 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 54,62,364 . The biggest common factor number is the GCF number.
So the greatest common factor 54,62,364 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 66/54, 991/62, 446/364

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 66/54, 991/62, 446/364?

Answer: LCM of Numerators as per given numbers 66/54, 991/62, 446/364 is

LCM of Numerators i.e. for 66,991,446 is 14585538

GCF of denominators i.e. for 54,62,364 is 2.

Thus, LCM of Fractions is 7292769.Finally, LCM of Fractions for 66/54, 991/62, 446/364 is 7292769.