Least Common Multiple of 250/38, 941/14, 959/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 250/38, 941/14, 959/516 quickly i.e. 112802375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/38, 941/14, 959/516 is 112802375.

LCM(250/38, 941/14, 959/516) = 112802375

LCM of 250/38, 941/14, 959/516

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 250/38,941/14,959/516

Given numbers are 250/38,941/14,959/516

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 250,941,959

Least Common Multiple of Numerators i.e. LCM of 250,941,959 is 225604750.

GCF of Denominators means GCF of 38,14,516 as per the given fractions.

GCF of 38,14,516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,941,959

LCM of Fractions 250/38,941/14,959/516 is 112802375

Given numbers has no common factors except 1. So, there LCM is their product i.e 225604750

Least Common Multiple of 250,941,959 with GCF Formula

Least Common Multiple of 250,941,959 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 250,941,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,941,959) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(250,941,959) x common factors =1 x 1 = 1

LCM(250,941,959) = ( 250 × 941 × 959 ) / 1

LCM(250,941,959) = 225604750 / 1

LCM(250,941,959) = 225604750


Lets's calculate GCF of 38,14,516

2 38, 14, 516
19, 7, 258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225604750/2

Therefore the LCM of Fractions 250/38,941/14,959/516 is 112802375

Greatest Common Factor of 38,14,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,14,516 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 14

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

1,2,7,14

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 38,14,516 . The biggest common factor number is the GCF number.
So the greatest common factor 38,14,516 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 250/38, 941/14, 959/516

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 250/38, 941/14, 959/516?

Answer: LCM of Numerators as per given numbers 250/38, 941/14, 959/516 is

LCM of Numerators i.e. for 250,941,959 is 225604750

GCF of denominators i.e. for 38,14,516 is 2.

Thus, LCM of Fractions is 112802375.Finally, LCM of Fractions for 250/38, 941/14, 959/516 is 112802375.