Least Common Multiple of 250/25, 105/22, 151/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 250/25, 105/22, 151/796 quickly i.e. 792750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/25, 105/22, 151/796 is 792750.

LCM(250/25, 105/22, 151/796) = 792750

LCM of 250/25, 105/22, 151/796

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 250/25,105/22,151/796

Given numbers are 250/25,105/22,151/796

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 250,105,151

Least Common Multiple of Numerators i.e. LCM of 250,105,151 is 792750.

GCF of Denominators means GCF of 25,22,796 as per the given fractions.

GCF of 25,22,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,105,151

LCM of Fractions 250/25,105/22,151/796 is 792750

5 250, 105, 151
50, 21, 151

∴ So the LCM of the given numbers is 5 x 50 x 21 x 151 = 792750

Least Common Multiple of 250,105,151 with GCF Formula

Least Common Multiple of 250,105,151 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 250,105,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,105,151) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(250,105,151) x common factors =1 x 5 = 5

LCM(250,105,151) = ( 250 × 105 × 151 ) / 5

LCM(250,105,151) = 3963750 / 5

LCM(250,105,151) = 792750


Lets's calculate GCF of 25,22,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 792750/1

Therefore the LCM of Fractions 250/25,105/22,151/796 is 792750

Greatest Common Factor of 25,22,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,22,796 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 25,22,796 . The biggest common factor number is the GCF number.
So the greatest common factor 25,22,796 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 250/25, 105/22, 151/796

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 250/25, 105/22, 151/796?

Answer: LCM of Numerators as per given numbers 250/25, 105/22, 151/796 is

LCM of Numerators i.e. for 250,105,151 is 792750

GCF of denominators i.e. for 25,22,796 is 1.

Thus, LCM of Fractions is 792750.Finally, LCM of Fractions for 250/25, 105/22, 151/796 is 792750.