Least Common Multiple of 250/66, 274/3157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 250/66, 274/3157 quickly i.e. 34250/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/66, 274/3157 is 34250/11.

LCM(250/66, 274/3157) = 34250/11

LCM of 250/66, 274/3157

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 250/66,274/3157

Given numbers are 250/66,274/3157

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 250,274

Least Common Multiple of Numerators i.e. LCM of 250,274 is 34250.

GCF of Denominators means GCF of 66,3157 as per the given fractions.

GCF of 66,3157 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,274

LCM of Fractions 250/66,274/3157 is 34250/11

2 250, 274
125, 137

∴ So the LCM of the given numbers is 2 x 125 x 137 = 34250

Least Common Multiple of 250,274 with GCF Formula

Least Common Multiple of 250,274 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 250,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,274) = 2

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

GCF(250,274) x common factors =2 x 1 = 2

LCM(250,274) = ( 250 × 274 ) / 2

LCM(250,274) = 68500 / 2

LCM(250,274) = 34250


Lets's calculate GCF of 66,3157

11 66, 3157
6, 287

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34250/11

Therefore the LCM of Fractions 250/66,274/3157 is 34250/11

Greatest Common Factor of 66,3157 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,3157 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 3157

List of positive integer factors of 3157 that divides 3157 without a remainder.

1,7,11,41,77,287,451,3157

Greatest Common Factor

We found the factors 66,3157 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3157 is 11.


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 250/66, 274/3157

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 250/66, 274/3157?

Answer: LCM of Numerators as per given numbers 250/66, 274/3157 is

LCM of Numerators i.e. for 250,274 is 34250

GCF of denominators i.e. for 66,3157 is 11.

Thus, LCM of Fractions is 34250/11.Finally, LCM of Fractions for 250/66, 274/3157 is 34250/11.