Least Common Multiple of 4728/12, 2782/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4728/12, 2782/350 quickly i.e. 3288324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4728/12, 2782/350 is 3288324.

LCM(4728/12, 2782/350) = 3288324

LCM of 4728/12, 2782/350

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 4728/12,2782/350

Given numbers are 4728/12,2782/350

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 4728,2782

Least Common Multiple of Numerators i.e. LCM of 4728,2782 is 6576648.

GCF of Denominators means GCF of 12,350 as per the given fractions.

GCF of 12,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4728,2782

LCM of Fractions 4728/12,2782/350 is 3288324

2 4728, 2782
2364, 1391

∴ So the LCM of the given numbers is 2 x 2364 x 1391 = 6576648

Least Common Multiple of 4728,2782 with GCF Formula

Least Common Multiple of 4728,2782 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 4728,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4728,2782) = 2

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

GCF(4728,2782) x common factors =2 x 1 = 2

LCM(4728,2782) = ( 4728 × 2782 ) / 2

LCM(4728,2782) = 13153296 / 2

LCM(4728,2782) = 6576648


Lets's calculate GCF of 12,350

2 12, 350
6, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6576648/2

Therefore the LCM of Fractions 4728/12,2782/350 is 3288324

Greatest Common Factor of 12,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,350 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 12,350 . The biggest common factor number is the GCF number.
So the greatest common factor 12,350 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 4728/12, 2782/350

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 4728/12, 2782/350?

Answer: LCM of Numerators as per given numbers 4728/12, 2782/350 is

LCM of Numerators i.e. for 4728,2782 is 6576648

GCF of denominators i.e. for 12,350 is 2.

Thus, LCM of Fractions is 3288324.Finally, LCM of Fractions for 4728/12, 2782/350 is 3288324.