Least Common Multiple of 704/82, 6374/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/82, 6374/628 quickly i.e. 1121824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/82, 6374/628 is 1121824.

LCM(704/82, 6374/628) = 1121824

LCM of 704/82, 6374/628

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 704/82,6374/628

Given numbers are 704/82,6374/628

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 704,6374

Least Common Multiple of Numerators i.e. LCM of 704,6374 is 2243648.

GCF of Denominators means GCF of 82,628 as per the given fractions.

GCF of 82,628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,6374

LCM of Fractions 704/82,6374/628 is 1121824

2 704, 6374
352, 3187

∴ So the LCM of the given numbers is 2 x 352 x 3187 = 2243648

Least Common Multiple of 704,6374 with GCF Formula

Least Common Multiple of 704,6374 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 704,6374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,6374) = 2

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

GCF(704,6374) x common factors =2 x 1 = 2

LCM(704,6374) = ( 704 × 6374 ) / 2

LCM(704,6374) = 4487296 / 2

LCM(704,6374) = 2243648


Lets's calculate GCF of 82,628

2 82, 628
41, 314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2243648/2

Therefore the LCM of Fractions 704/82,6374/628 is 1121824

Greatest Common Factor of 82,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,628 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 628

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

1,2,4,157,314,628

Greatest Common Factor

We found the factors 82,628 . The biggest common factor number is the GCF number.
So the greatest common factor 82,628 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 704/82, 6374/628

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 704/82, 6374/628?

Answer: LCM of Numerators as per given numbers 704/82, 6374/628 is

LCM of Numerators i.e. for 704,6374 is 2243648

GCF of denominators i.e. for 82,628 is 2.

Thus, LCM of Fractions is 1121824.Finally, LCM of Fractions for 704/82, 6374/628 is 1121824.