Least Common Multiple of 64/94, 90/21, 63/30, 24/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/94, 90/21, 63/30, 24/528 quickly i.e. 20160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/94, 90/21, 63/30, 24/528 is 20160.

LCM(64/94, 90/21, 63/30, 24/528) = 20160

LCM of 64/94, 90/21, 63/30, 24/528

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 64/94,90/21,63/30,24/528

Given numbers are 64/94,90/21,63/30,24/528

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 64,90,63,24

Least Common Multiple of Numerators i.e. LCM of 64,90,63,24 is 20160.

GCF of Denominators means GCF of 94,21,30,528 as per the given fractions.

GCF of 94,21,30,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,90,63,24

LCM of Fractions 64/94,90/21,63/30,24/528 is 20160

2 64, 90, 63, 24
2 32, 45, 63, 12
2 16, 45, 63, 6
3 8, 45, 63, 3
3 8, 15, 21, 1
8, 5, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 8 x 5 x 7 x 1 = 20160

Least Common Multiple of 64,90,63,24 with GCF Formula

Least Common Multiple of 64,90,63,24 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 64,90,63,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,90,63,24) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(64,90,63,24) x common factors =1 x 432 = 432

LCM(64,90,63,24) = ( 64 × 90 × 63 × 24 ) / 432

LCM(64,90,63,24) = 8709120 / 432

LCM(64,90,63,24) = 20160


Lets's calculate GCF of 94,21,30,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20160/1

Therefore the LCM of Fractions 64/94,90/21,63/30,24/528 is 20160

Greatest Common Factor of 94,21,30,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,21,30,528 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 94,21,30,528 . The biggest common factor number is the GCF number.
So the greatest common factor 94,21,30,528 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 64/94, 90/21, 63/30, 24/528

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 64/94, 90/21, 63/30, 24/528?

Answer: LCM of Numerators as per given numbers 64/94, 90/21, 63/30, 24/528 is

LCM of Numerators i.e. for 64,90,63,24 is 20160

GCF of denominators i.e. for 94,21,30,528 is 1.

Thus, LCM of Fractions is 20160.Finally, LCM of Fractions for 64/94, 90/21, 63/30, 24/528 is 20160.