Least Common Multiple of 64/99, 18/91, 49/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/99, 18/91, 49/547 quickly i.e. 28224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/99, 18/91, 49/547 is 28224.

LCM(64/99, 18/91, 49/547) = 28224

LCM of 64/99, 18/91, 49/547

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 64/99,18/91,49/547

Given numbers are 64/99,18/91,49/547

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 64,18,49

Least Common Multiple of Numerators i.e. LCM of 64,18,49 is 28224.

GCF of Denominators means GCF of 99,91,547 as per the given fractions.

GCF of 99,91,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,18,49

LCM of Fractions 64/99,18/91,49/547 is 28224

2 64, 18, 49
32, 9, 49

∴ So the LCM of the given numbers is 2 x 32 x 9 x 49 = 28224

Least Common Multiple of 64,18,49 with GCF Formula

Least Common Multiple of 64,18,49 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 64,18,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,18,49) = 1

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

GCF(64,18,49) x common factors =1 x 2 = 2

LCM(64,18,49) = ( 64 × 18 × 49 ) / 2

LCM(64,18,49) = 56448 / 2

LCM(64,18,49) = 28224


Lets's calculate GCF of 99,91,547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28224/1

Therefore the LCM of Fractions 64/99,18/91,49/547 is 28224

Greatest Common Factor of 99,91,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,91,547 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 99,91,547 . The biggest common factor number is the GCF number.
So the greatest common factor 99,91,547 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 64/99, 18/91, 49/547

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 64/99, 18/91, 49/547?

Answer: LCM of Numerators as per given numbers 64/99, 18/91, 49/547 is

LCM of Numerators i.e. for 64,18,49 is 28224

GCF of denominators i.e. for 99,91,547 is 1.

Thus, LCM of Fractions is 28224.Finally, LCM of Fractions for 64/99, 18/91, 49/547 is 28224.