Least Common Multiple of 255/147, 230/921, 443/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/147, 230/921, 443/679 quickly i.e. 5196390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/147, 230/921, 443/679 is 5196390.

LCM(255/147, 230/921, 443/679) = 5196390

LCM of 255/147, 230/921, 443/679

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 255/147,230/921,443/679

Given numbers are 255/147,230/921,443/679

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 255,230,443

Least Common Multiple of Numerators i.e. LCM of 255,230,443 is 5196390.

GCF of Denominators means GCF of 147,921,679 as per the given fractions.

GCF of 147,921,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,230,443

LCM of Fractions 255/147,230/921,443/679 is 5196390

5 255, 230, 443
51, 46, 443

∴ So the LCM of the given numbers is 5 x 51 x 46 x 443 = 5196390

Least Common Multiple of 255,230,443 with GCF Formula

Least Common Multiple of 255,230,443 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 255,230,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,230,443) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(255,230,443) x common factors =1 x 5 = 5

LCM(255,230,443) = ( 255 × 230 × 443 ) / 5

LCM(255,230,443) = 25981950 / 5

LCM(255,230,443) = 5196390


Lets's calculate GCF of 147,921,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5196390/1

Therefore the LCM of Fractions 255/147,230/921,443/679 is 5196390

Greatest Common Factor of 147,921,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,921,679 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 147,921,679 . The biggest common factor number is the GCF number.
So the greatest common factor 147,921,679 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 255/147, 230/921, 443/679

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 255/147, 230/921, 443/679?

Answer: LCM of Numerators as per given numbers 255/147, 230/921, 443/679 is

LCM of Numerators i.e. for 255,230,443 is 5196390

GCF of denominators i.e. for 147,921,679 is 1.

Thus, LCM of Fractions is 5196390.Finally, LCM of Fractions for 255/147, 230/921, 443/679 is 5196390.