Least Common Multiple of 868/14, 305/7075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/14, 305/7075 quickly i.e. 264740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/14, 305/7075 is 264740.

LCM(868/14, 305/7075) = 264740

LCM of 868/14, 305/7075

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 868/14,305/7075

Given numbers are 868/14,305/7075

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 868,305

Least Common Multiple of Numerators i.e. LCM of 868,305 is 264740.

GCF of Denominators means GCF of 14,7075 as per the given fractions.

GCF of 14,7075 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,305

LCM of Fractions 868/14,305/7075 is 264740

Given numbers has no common factors except 1. So, there LCM is their product i.e 264740

Least Common Multiple of 868,305 with GCF Formula

Least Common Multiple of 868,305 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 868,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,305) = 1

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

GCF(868,305) x common factors =1 x 1 = 1

LCM(868,305) = ( 868 × 305 ) / 1

LCM(868,305) = 264740 / 1

LCM(868,305) = 264740


Lets's calculate GCF of 14,7075

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264740/1

Therefore the LCM of Fractions 868/14,305/7075 is 264740

Greatest Common Factor of 14,7075 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,7075 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 7075

List of positive integer factors of 7075 that divides 7075 without a remainder.

1,5,25,283,1415,7075

Greatest Common Factor

We found the factors 14,7075 . The biggest common factor number is the GCF number.
So the greatest common factor 14,7075 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 868/14, 305/7075

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 868/14, 305/7075?

Answer: LCM of Numerators as per given numbers 868/14, 305/7075 is

LCM of Numerators i.e. for 868,305 is 264740

GCF of denominators i.e. for 14,7075 is 1.

Thus, LCM of Fractions is 264740.Finally, LCM of Fractions for 868/14, 305/7075 is 264740.