Least Common Multiple of 14/924, 171/537, 306/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/924, 171/537, 306/872 quickly i.e. 40698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/924, 171/537, 306/872 is 40698.

LCM(14/924, 171/537, 306/872) = 40698

LCM of 14/924, 171/537, 306/872

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 14/924,171/537,306/872

Given numbers are 14/924,171/537,306/872

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 14,171,306

Least Common Multiple of Numerators i.e. LCM of 14,171,306 is 40698.

GCF of Denominators means GCF of 924,537,872 as per the given fractions.

GCF of 924,537,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,171,306

LCM of Fractions 14/924,171/537,306/872 is 40698

2 14, 171, 306
3 7, 171, 153
3 7, 57, 51
7, 19, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 19 x 17 = 40698

Least Common Multiple of 14,171,306 with GCF Formula

Least Common Multiple of 14,171,306 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 14,171,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,171,306) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(14,171,306) x common factors =1 x 18 = 18

LCM(14,171,306) = ( 14 × 171 × 306 ) / 18

LCM(14,171,306) = 732564 / 18

LCM(14,171,306) = 40698


Lets's calculate GCF of 924,537,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40698/1

Therefore the LCM of Fractions 14/924,171/537,306/872 is 40698

Greatest Common Factor of 924,537,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,537,872 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 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 924,537,872 . The biggest common factor number is the GCF number.
So the greatest common factor 924,537,872 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 14/924, 171/537, 306/872

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 14/924, 171/537, 306/872?

Answer: LCM of Numerators as per given numbers 14/924, 171/537, 306/872 is

LCM of Numerators i.e. for 14,171,306 is 40698

GCF of denominators i.e. for 924,537,872 is 1.

Thus, LCM of Fractions is 40698.Finally, LCM of Fractions for 14/924, 171/537, 306/872 is 40698.