Least Common Multiple of 8245/317, 2875/3874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8245/317, 2875/3874 quickly i.e. 4740875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8245/317, 2875/3874 is 4740875.

LCM(8245/317, 2875/3874) = 4740875

LCM of 8245/317, 2875/3874

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 8245/317,2875/3874

Given numbers are 8245/317,2875/3874

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 8245,2875

Least Common Multiple of Numerators i.e. LCM of 8245,2875 is 4740875.

GCF of Denominators means GCF of 317,3874 as per the given fractions.

GCF of 317,3874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8245,2875

LCM of Fractions 8245/317,2875/3874 is 4740875

5 8245, 2875
1649, 575

∴ So the LCM of the given numbers is 5 x 1649 x 575 = 4740875

Least Common Multiple of 8245,2875 with GCF Formula

Least Common Multiple of 8245,2875 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 8245,2875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8245,2875) = 5

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

GCF(8245,2875) x common factors =5 x 1 = 5

LCM(8245,2875) = ( 8245 × 2875 ) / 5

LCM(8245,2875) = 23704375 / 5

LCM(8245,2875) = 4740875


Lets's calculate GCF of 317,3874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4740875/1

Therefore the LCM of Fractions 8245/317,2875/3874 is 4740875

Greatest Common Factor of 317,3874 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,3874 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1,2,13,26,149,298,1937,3874

Greatest Common Factor

We found the factors 317,3874 . The biggest common factor number is the GCF number.
So the greatest common factor 317,3874 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 8245/317, 2875/3874

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 8245/317, 2875/3874?

Answer: LCM of Numerators as per given numbers 8245/317, 2875/3874 is

LCM of Numerators i.e. for 8245,2875 is 4740875

GCF of denominators i.e. for 317,3874 is 1.

Thus, LCM of Fractions is 4740875.Finally, LCM of Fractions for 8245/317, 2875/3874 is 4740875.