Least Common Multiple of 510/36, 876/96, 969/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/36, 876/96, 969/42 quickly i.e. 235790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/36, 876/96, 969/42 is 235790.

LCM(510/36, 876/96, 969/42) = 235790

LCM of 510/36, 876/96, 969/42

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 510/36,876/96,969/42

Given numbers are 510/36,876/96,969/42

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 510,876,969

Least Common Multiple of Numerators i.e. LCM of 510,876,969 is 1414740.

GCF of Denominators means GCF of 36,96,42 as per the given fractions.

GCF of 36,96,42 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,876,969

LCM of Fractions 510/36,876/96,969/42 is 235790

2 510, 876, 969
3 255, 438, 969
17 85, 146, 323
5, 146, 19

∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 146 x 19 = 1414740

Least Common Multiple of 510,876,969 with GCF Formula

Least Common Multiple of 510,876,969 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 510,876,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,876,969) = 3

common factors(in case of two or more numbers have common factors) = 102

GCF(510,876,969) x common factors =3 x 102 = 306

LCM(510,876,969) = ( 510 × 876 × 969 ) / 306

LCM(510,876,969) = 432910440 / 306

LCM(510,876,969) = 1414740


Lets's calculate GCF of 36,96,42

2 36, 96, 42
3 18, 48, 21
6, 16, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1414740/6

Therefore the LCM of Fractions 510/36,876/96,969/42 is 235790

Greatest Common Factor of 36,96,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,96,42 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 36,96,42 . The biggest common factor number is the GCF number.
So the greatest common factor 36,96,42 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 510/36, 876/96, 969/42

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 510/36, 876/96, 969/42?

Answer: LCM of Numerators as per given numbers 510/36, 876/96, 969/42 is

LCM of Numerators i.e. for 510,876,969 is 1414740

GCF of denominators i.e. for 36,96,42 is 6.

Thus, LCM of Fractions is 235790.Finally, LCM of Fractions for 510/36, 876/96, 969/42 is 235790.