Least Common Multiple of 712/868, 2675/1234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/868, 2675/1234 quickly i.e. 952300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/868, 2675/1234 is 952300.

LCM(712/868, 2675/1234) = 952300

LCM of 712/868, 2675/1234

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 712/868,2675/1234

Given numbers are 712/868,2675/1234

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 712,2675

Least Common Multiple of Numerators i.e. LCM of 712,2675 is 1904600.

GCF of Denominators means GCF of 868,1234 as per the given fractions.

GCF of 868,1234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,2675

LCM of Fractions 712/868,2675/1234 is 952300

Given numbers has no common factors except 1. So, there LCM is their product i.e 1904600

Least Common Multiple of 712,2675 with GCF Formula

Least Common Multiple of 712,2675 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 712,2675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,2675) = 1

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

GCF(712,2675) x common factors =1 x 1 = 1

LCM(712,2675) = ( 712 × 2675 ) / 1

LCM(712,2675) = 1904600 / 1

LCM(712,2675) = 1904600


Lets's calculate GCF of 868,1234

2 868, 1234
434, 617

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1904600/2

Therefore the LCM of Fractions 712/868,2675/1234 is 952300

Greatest Common Factor of 868,1234 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,1234 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 1234

List of positive integer factors of 1234 that divides 1234 without a remainder.

1,2,617,1234

Greatest Common Factor

We found the factors 868,1234 . The biggest common factor number is the GCF number.
So the greatest common factor 868,1234 is 2.


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 712/868, 2675/1234

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 712/868, 2675/1234?

Answer: LCM of Numerators as per given numbers 712/868, 2675/1234 is

LCM of Numerators i.e. for 712,2675 is 1904600

GCF of denominators i.e. for 868,1234 is 2.

Thus, LCM of Fractions is 952300.Finally, LCM of Fractions for 712/868, 2675/1234 is 952300.