Least Common Multiple of 353/54, 924/12, 807/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 353/54, 924/12, 807/168 quickly i.e. 14623378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/54, 924/12, 807/168 is 14623378.

LCM(353/54, 924/12, 807/168) = 14623378

LCM of 353/54, 924/12, 807/168

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 353/54,924/12,807/168

Given numbers are 353/54,924/12,807/168

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 353,924,807

Least Common Multiple of Numerators i.e. LCM of 353,924,807 is 87740268.

GCF of Denominators means GCF of 54,12,168 as per the given fractions.

GCF of 54,12,168 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,924,807

LCM of Fractions 353/54,924/12,807/168 is 14623378

3 353, 924, 807
353, 308, 269

∴ So the LCM of the given numbers is 3 x 353 x 308 x 269 = 87740268

Least Common Multiple of 353,924,807 with GCF Formula

Least Common Multiple of 353,924,807 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 353,924,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,924,807) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(353,924,807) x common factors =1 x 3 = 3

LCM(353,924,807) = ( 353 × 924 × 807 ) / 3

LCM(353,924,807) = 263220804 / 3

LCM(353,924,807) = 87740268


Lets's calculate GCF of 54,12,168

2 54, 12, 168
3 27, 6, 84
9, 2, 28

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87740268/6

Therefore the LCM of Fractions 353/54,924/12,807/168 is 14623378

Greatest Common Factor of 54,12,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,12,168 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 54,12,168 . The biggest common factor number is the GCF number.
So the greatest common factor 54,12,168 is 6.


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 353/54, 924/12, 807/168

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 353/54, 924/12, 807/168?

Answer: LCM of Numerators as per given numbers 353/54, 924/12, 807/168 is

LCM of Numerators i.e. for 353,924,807 is 87740268

GCF of denominators i.e. for 54,12,168 is 6.

Thus, LCM of Fractions is 14623378.Finally, LCM of Fractions for 353/54, 924/12, 807/168 is 14623378.