Least Common Multiple of 114/93, 513/21, 253/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/93, 513/21, 253/292 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 114/93, 513/21, 253/292 is 259578.

LCM(114/93, 513/21, 253/292) = 259578

LCM of 114/93, 513/21, 253/292

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 114/93,513/21,253/292

Given numbers are 114/93,513/21,253/292

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 114,513,253

Least Common Multiple of Numerators i.e. LCM of 114,513,253 is 259578.

GCF of Denominators means GCF of 93,21,292 as per the given fractions.

GCF of 93,21,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,513,253

LCM of Fractions 114/93,513/21,253/292 is 259578

3 114, 513, 253
19 38, 171, 253
2, 9, 253

∴ So the LCM of the given numbers is 3 x 19 x 2 x 9 x 253 = 259578

Least Common Multiple of 114,513,253 with GCF Formula

Least Common Multiple of 114,513,253 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 114,513,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,513,253) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(114,513,253) x common factors =1 x 57 = 57

LCM(114,513,253) = ( 114 × 513 × 253 ) / 57

LCM(114,513,253) = 14795946 / 57

LCM(114,513,253) = 259578


Lets's calculate GCF of 93,21,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259578/1

Therefore the LCM of Fractions 114/93,513/21,253/292 is 259578

Greatest Common Factor of 93,21,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,21,292 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 93,21,292 . The biggest common factor number is the GCF number.
So the greatest common factor 93,21,292 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 114/93, 513/21, 253/292

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 114/93, 513/21, 253/292?

Answer: LCM of Numerators as per given numbers 114/93, 513/21, 253/292 is

LCM of Numerators i.e. for 114,513,253 is 259578

GCF of denominators i.e. for 93,21,292 is 1.

Thus, LCM of Fractions is 259578.Finally, LCM of Fractions for 114/93, 513/21, 253/292 is 259578.