Least Common Multiple of 66/924, 408/328, 476/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/924, 408/328, 476/624 quickly i.e. 7854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/924, 408/328, 476/624 is 7854.

LCM(66/924, 408/328, 476/624) = 7854

LCM of 66/924, 408/328, 476/624

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 66/924,408/328,476/624

Given numbers are 66/924,408/328,476/624

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 66,408,476

Least Common Multiple of Numerators i.e. LCM of 66,408,476 is 31416.

GCF of Denominators means GCF of 924,328,624 as per the given fractions.

GCF of 924,328,624 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,408,476

LCM of Fractions 66/924,408/328,476/624 is 7854

2 66, 408, 476
2 33, 204, 238
3 33, 102, 119
17 11, 34, 119
11, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 11 x 2 x 7 = 31416

Least Common Multiple of 66,408,476 with GCF Formula

Least Common Multiple of 66,408,476 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 66,408,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,408,476) = 2

common factors(in case of two or more numbers have common factors) = 204

GCF(66,408,476) x common factors =2 x 204 = 408

LCM(66,408,476) = ( 66 × 408 × 476 ) / 408

LCM(66,408,476) = 12817728 / 408

LCM(66,408,476) = 31416


Lets's calculate GCF of 924,328,624

2 924, 328, 624
2 462, 164, 312
231, 82, 156

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31416/4

Therefore the LCM of Fractions 66/924,408/328,476/624 is 7854

Greatest Common Factor of 924,328,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,328,624 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 924,328,624 . The biggest common factor number is the GCF number.
So the greatest common factor 924,328,624 is 4.


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 66/924, 408/328, 476/624

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 66/924, 408/328, 476/624?

Answer: LCM of Numerators as per given numbers 66/924, 408/328, 476/624 is

LCM of Numerators i.e. for 66,408,476 is 31416

GCF of denominators i.e. for 924,328,624 is 4.

Thus, LCM of Fractions is 7854.Finally, LCM of Fractions for 66/924, 408/328, 476/624 is 7854.