Least Common Multiple of 664/628, 2321/6752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/628, 2321/6752 quickly i.e. 385286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/628, 2321/6752 is 385286.

LCM(664/628, 2321/6752) = 385286

LCM of 664/628, 2321/6752

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 664/628,2321/6752

Given numbers are 664/628,2321/6752

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 664,2321

Least Common Multiple of Numerators i.e. LCM of 664,2321 is 1541144.

GCF of Denominators means GCF of 628,6752 as per the given fractions.

GCF of 628,6752 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,2321

LCM of Fractions 664/628,2321/6752 is 385286

Given numbers has no common factors except 1. So, there LCM is their product i.e 1541144

Least Common Multiple of 664,2321 with GCF Formula

Least Common Multiple of 664,2321 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 664,2321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,2321) = 1

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

GCF(664,2321) x common factors =1 x 1 = 1

LCM(664,2321) = ( 664 × 2321 ) / 1

LCM(664,2321) = 1541144 / 1

LCM(664,2321) = 1541144


Lets's calculate GCF of 628,6752

2 628, 6752
2 314, 3376
157, 1688

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1541144/4

Therefore the LCM of Fractions 664/628,2321/6752 is 385286

Greatest Common Factor of 628,6752 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,6752 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 6752

List of positive integer factors of 6752 that divides 6752 without a remainder.

1,2,4,8,16,32,211,422,844,1688,3376,6752

Greatest Common Factor

We found the factors 628,6752 . The biggest common factor number is the GCF number.
So the greatest common factor 628,6752 is 4.


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 664/628, 2321/6752

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 664/628, 2321/6752?

Answer: LCM of Numerators as per given numbers 664/628, 2321/6752 is

LCM of Numerators i.e. for 664,2321 is 1541144

GCF of denominators i.e. for 628,6752 is 4.

Thus, LCM of Fractions is 385286.Finally, LCM of Fractions for 664/628, 2321/6752 is 385286.