Least Common Multiple of 253/76, 513/12, 836/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/76, 513/12, 836/14 quickly i.e. 259578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/76, 513/12, 836/14 is 259578.

LCM(253/76, 513/12, 836/14) = 259578

LCM of 253/76, 513/12, 836/14

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 253/76,513/12,836/14

Given numbers are 253/76,513/12,836/14

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 253,513,836

Least Common Multiple of Numerators i.e. LCM of 253,513,836 is 519156.

GCF of Denominators means GCF of 76,12,14 as per the given fractions.

GCF of 76,12,14 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,513,836

LCM of Fractions 253/76,513/12,836/14 is 259578

11 253, 513, 836
19 23, 513, 76
23, 27, 4

∴ So the LCM of the given numbers is 11 x 19 x 23 x 27 x 4 = 519156

Least Common Multiple of 253,513,836 with GCF Formula

Least Common Multiple of 253,513,836 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 253,513,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,513,836) = 1

common factors(in case of two or more numbers have common factors) = 209

GCF(253,513,836) x common factors =1 x 209 = 209

LCM(253,513,836) = ( 253 × 513 × 836 ) / 209

LCM(253,513,836) = 108503604 / 209

LCM(253,513,836) = 519156


Lets's calculate GCF of 76,12,14

2 76, 12, 14
38, 6, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 519156/2

Therefore the LCM of Fractions 253/76,513/12,836/14 is 259578

Greatest Common Factor of 76,12,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,12,14 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 12

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

1,2,3,4,6,12

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 76,12,14 . The biggest common factor number is the GCF number.
So the greatest common factor 76,12,14 is 2.


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 253/76, 513/12, 836/14

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 253/76, 513/12, 836/14?

Answer: LCM of Numerators as per given numbers 253/76, 513/12, 836/14 is

LCM of Numerators i.e. for 253,513,836 is 519156

GCF of denominators i.e. for 76,12,14 is 2.

Thus, LCM of Fractions is 259578.Finally, LCM of Fractions for 253/76, 513/12, 836/14 is 259578.