Least Common Multiple of 306/548, 799/885, 200/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/548, 799/885, 200/256 quickly i.e. 1438200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/548, 799/885, 200/256 is 1438200.

LCM(306/548, 799/885, 200/256) = 1438200

LCM of 306/548, 799/885, 200/256

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 306/548,799/885,200/256

Given numbers are 306/548,799/885,200/256

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 306,799,200

Least Common Multiple of Numerators i.e. LCM of 306,799,200 is 1438200.

GCF of Denominators means GCF of 548,885,256 as per the given fractions.

GCF of 548,885,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,799,200

LCM of Fractions 306/548,799/885,200/256 is 1438200

2 306, 799, 200
17 153, 799, 100
9, 47, 100

∴ So the LCM of the given numbers is 2 x 17 x 9 x 47 x 100 = 1438200

Least Common Multiple of 306,799,200 with GCF Formula

Least Common Multiple of 306,799,200 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 306,799,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,799,200) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(306,799,200) x common factors =1 x 34 = 34

LCM(306,799,200) = ( 306 × 799 × 200 ) / 34

LCM(306,799,200) = 48898800 / 34

LCM(306,799,200) = 1438200


Lets's calculate GCF of 548,885,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1438200/1

Therefore the LCM of Fractions 306/548,799/885,200/256 is 1438200

Greatest Common Factor of 548,885,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,885,256 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 548,885,256 . The biggest common factor number is the GCF number.
So the greatest common factor 548,885,256 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 306/548, 799/885, 200/256

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 306/548, 799/885, 200/256?

Answer: LCM of Numerators as per given numbers 306/548, 799/885, 200/256 is

LCM of Numerators i.e. for 306,799,200 is 1438200

GCF of denominators i.e. for 548,885,256 is 1.

Thus, LCM of Fractions is 1438200.Finally, LCM of Fractions for 306/548, 799/885, 200/256 is 1438200.