Least Common Multiple of 7825/287, 3173/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7825/287, 3173/270 quickly i.e. 24828725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7825/287, 3173/270 is 24828725.

LCM(7825/287, 3173/270) = 24828725

LCM of 7825/287, 3173/270

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 7825/287,3173/270

Given numbers are 7825/287,3173/270

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 7825,3173

Least Common Multiple of Numerators i.e. LCM of 7825,3173 is 24828725.

GCF of Denominators means GCF of 287,270 as per the given fractions.

GCF of 287,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7825,3173

LCM of Fractions 7825/287,3173/270 is 24828725

Given numbers has no common factors except 1. So, there LCM is their product i.e 24828725

Least Common Multiple of 7825,3173 with GCF Formula

Least Common Multiple of 7825,3173 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 7825,3173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7825,3173) = 1

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

GCF(7825,3173) x common factors =1 x 1 = 1

LCM(7825,3173) = ( 7825 × 3173 ) / 1

LCM(7825,3173) = 24828725 / 1

LCM(7825,3173) = 24828725


Lets's calculate GCF of 287,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24828725/1

Therefore the LCM of Fractions 7825/287,3173/270 is 24828725

Greatest Common Factor of 287,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,270 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 287,270 . The biggest common factor number is the GCF number.
So the greatest common factor 287,270 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 7825/287, 3173/270

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 7825/287, 3173/270?

Answer: LCM of Numerators as per given numbers 7825/287, 3173/270 is

LCM of Numerators i.e. for 7825,3173 is 24828725

GCF of denominators i.e. for 287,270 is 1.

Thus, LCM of Fractions is 24828725.Finally, LCM of Fractions for 7825/287, 3173/270 is 24828725.