Least Common Multiple of 58/380, 64/309, 150/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/380, 64/309, 150/846 quickly i.e. 139200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/380, 64/309, 150/846 is 139200.

LCM(58/380, 64/309, 150/846) = 139200

LCM of 58/380, 64/309, 150/846

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 58/380,64/309,150/846

Given numbers are 58/380,64/309,150/846

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 58,64,150

Least Common Multiple of Numerators i.e. LCM of 58,64,150 is 139200.

GCF of Denominators means GCF of 380,309,846 as per the given fractions.

GCF of 380,309,846 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,64,150

LCM of Fractions 58/380,64/309,150/846 is 139200

2 58, 64, 150
29, 32, 75

∴ So the LCM of the given numbers is 2 x 29 x 32 x 75 = 139200

Least Common Multiple of 58,64,150 with GCF Formula

Least Common Multiple of 58,64,150 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 58,64,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,64,150) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,64,150) x common factors =2 x 2 = 4

LCM(58,64,150) = ( 58 × 64 × 150 ) / 4

LCM(58,64,150) = 556800 / 4

LCM(58,64,150) = 139200


Lets's calculate GCF of 380,309,846

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139200/1

Therefore the LCM of Fractions 58/380,64/309,150/846 is 139200

Greatest Common Factor of 380,309,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,309,846 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 380,309,846 . The biggest common factor number is the GCF number.
So the greatest common factor 380,309,846 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 58/380, 64/309, 150/846

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 58/380, 64/309, 150/846?

Answer: LCM of Numerators as per given numbers 58/380, 64/309, 150/846 is

LCM of Numerators i.e. for 58,64,150 is 139200

GCF of denominators i.e. for 380,309,846 is 1.

Thus, LCM of Fractions is 139200.Finally, LCM of Fractions for 58/380, 64/309, 150/846 is 139200.