Least Common Multiple of 674/79, 598/21, 728/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/79, 598/21, 728/35 quickly i.e. 5642728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/79, 598/21, 728/35 is 5642728.

LCM(674/79, 598/21, 728/35) = 5642728

LCM of 674/79, 598/21, 728/35

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 674/79,598/21,728/35

Given numbers are 674/79,598/21,728/35

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 674,598,728

Least Common Multiple of Numerators i.e. LCM of 674,598,728 is 5642728.

GCF of Denominators means GCF of 79,21,35 as per the given fractions.

GCF of 79,21,35 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,598,728

LCM of Fractions 674/79,598/21,728/35 is 5642728

2 674, 598, 728
13 337, 299, 364
337, 23, 28

∴ So the LCM of the given numbers is 2 x 13 x 337 x 23 x 28 = 5642728

Least Common Multiple of 674,598,728 with GCF Formula

Least Common Multiple of 674,598,728 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 674,598,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,598,728) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(674,598,728) x common factors =2 x 26 = 52

LCM(674,598,728) = ( 674 × 598 × 728 ) / 52

LCM(674,598,728) = 293421856 / 52

LCM(674,598,728) = 5642728


Lets's calculate GCF of 79,21,35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5642728/1

Therefore the LCM of Fractions 674/79,598/21,728/35 is 5642728

Greatest Common Factor of 79,21,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,21,35 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 79,21,35 . The biggest common factor number is the GCF number.
So the greatest common factor 79,21,35 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 674/79, 598/21, 728/35

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 674/79, 598/21, 728/35?

Answer: LCM of Numerators as per given numbers 674/79, 598/21, 728/35 is

LCM of Numerators i.e. for 674,598,728 is 5642728

GCF of denominators i.e. for 79,21,35 is 1.

Thus, LCM of Fractions is 5642728.Finally, LCM of Fractions for 674/79, 598/21, 728/35 is 5642728.