Least Common Multiple of 7228/488, 7046/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7228/488, 7046/314 quickly i.e. 979394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7228/488, 7046/314 is 979394.

LCM(7228/488, 7046/314) = 979394

LCM of 7228/488, 7046/314

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 7228/488,7046/314

Given numbers are 7228/488,7046/314

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 7228,7046

Least Common Multiple of Numerators i.e. LCM of 7228,7046 is 1958788.

GCF of Denominators means GCF of 488,314 as per the given fractions.

GCF of 488,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7228,7046

LCM of Fractions 7228/488,7046/314 is 979394

2 7228, 7046
13 3614, 3523
278, 271

∴ So the LCM of the given numbers is 2 x 13 x 278 x 271 = 1958788

Least Common Multiple of 7228,7046 with GCF Formula

Least Common Multiple of 7228,7046 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 7228,7046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7228,7046) = 26

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

GCF(7228,7046) x common factors =26 x 1 = 26

LCM(7228,7046) = ( 7228 × 7046 ) / 26

LCM(7228,7046) = 50928488 / 26

LCM(7228,7046) = 1958788


Lets's calculate GCF of 488,314

2 488, 314
244, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1958788/2

Therefore the LCM of Fractions 7228/488,7046/314 is 979394

Greatest Common Factor of 488,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,314 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

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 488,314 . The biggest common factor number is the GCF number.
So the greatest common factor 488,314 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 7228/488, 7046/314

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 7228/488, 7046/314?

Answer: LCM of Numerators as per given numbers 7228/488, 7046/314 is

LCM of Numerators i.e. for 7228,7046 is 1958788

GCF of denominators i.e. for 488,314 is 2.

Thus, LCM of Fractions is 979394.Finally, LCM of Fractions for 7228/488, 7046/314 is 979394.