Least Common Multiple of 678/750, 8033/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/750, 8033/314 quickly i.e. 2723187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/750, 8033/314 is 2723187.

LCM(678/750, 8033/314) = 2723187

LCM of 678/750, 8033/314

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 678/750,8033/314

Given numbers are 678/750,8033/314

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 678,8033

Least Common Multiple of Numerators i.e. LCM of 678,8033 is 5446374.

GCF of Denominators means GCF of 750,314 as per the given fractions.

GCF of 750,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,8033

LCM of Fractions 678/750,8033/314 is 2723187

Given numbers has no common factors except 1. So, there LCM is their product i.e 5446374

Least Common Multiple of 678,8033 with GCF Formula

Least Common Multiple of 678,8033 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 678,8033 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,8033) = 1

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

GCF(678,8033) x common factors =1 x 1 = 1

LCM(678,8033) = ( 678 × 8033 ) / 1

LCM(678,8033) = 5446374 / 1

LCM(678,8033) = 5446374


Lets's calculate GCF of 750,314

2 750, 314
375, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5446374/2

Therefore the LCM of Fractions 678/750,8033/314 is 2723187

Greatest Common Factor of 750,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,314 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 750,314 . The biggest common factor number is the GCF number.
So the greatest common factor 750,314 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 678/750, 8033/314

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 678/750, 8033/314?

Answer: LCM of Numerators as per given numbers 678/750, 8033/314 is

LCM of Numerators i.e. for 678,8033 is 5446374

GCF of denominators i.e. for 750,314 is 2.

Thus, LCM of Fractions is 2723187.Finally, LCM of Fractions for 678/750, 8033/314 is 2723187.