Least Common Multiple of 14/537, 111/951, 960/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/537, 111/951, 960/879 quickly i.e. 82880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/537, 111/951, 960/879 is 82880.

LCM(14/537, 111/951, 960/879) = 82880

LCM of 14/537, 111/951, 960/879

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 14/537,111/951,960/879

Given numbers are 14/537,111/951,960/879

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 14,111,960

Least Common Multiple of Numerators i.e. LCM of 14,111,960 is 248640.

GCF of Denominators means GCF of 537,951,879 as per the given fractions.

GCF of 537,951,879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,111,960

LCM of Fractions 14/537,111/951,960/879 is 82880

2 14, 111, 960
3 7, 111, 480
7, 37, 160

∴ So the LCM of the given numbers is 2 x 3 x 7 x 37 x 160 = 248640

Least Common Multiple of 14,111,960 with GCF Formula

Least Common Multiple of 14,111,960 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 14,111,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,111,960) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(14,111,960) x common factors =1 x 6 = 6

LCM(14,111,960) = ( 14 × 111 × 960 ) / 6

LCM(14,111,960) = 1491840 / 6

LCM(14,111,960) = 248640


Lets's calculate GCF of 537,951,879

3 537, 951, 879
179, 317, 293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248640/3

Therefore the LCM of Fractions 14/537,111/951,960/879 is 82880

Greatest Common Factor of 537,951,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,951,879 By Matching Biggest Common Factor Method

Factors of 537

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

1,3,179,537

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 537,951,879 . The biggest common factor number is the GCF number.
So the greatest common factor 537,951,879 is 3.


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 14/537, 111/951, 960/879

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 14/537, 111/951, 960/879?

Answer: LCM of Numerators as per given numbers 14/537, 111/951, 960/879 is

LCM of Numerators i.e. for 14,111,960 is 248640

GCF of denominators i.e. for 537,951,879 is 3.

Thus, LCM of Fractions is 82880.Finally, LCM of Fractions for 14/537, 111/951, 960/879 is 82880.