Least Common Multiple of 13/312, 470/155, 378/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/312, 470/155, 378/141 quickly i.e. 1154790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/312, 470/155, 378/141 is 1154790.

LCM(13/312, 470/155, 378/141) = 1154790

LCM of 13/312, 470/155, 378/141

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 13/312,470/155,378/141

Given numbers are 13/312,470/155,378/141

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 13,470,378

Least Common Multiple of Numerators i.e. LCM of 13,470,378 is 1154790.

GCF of Denominators means GCF of 312,155,141 as per the given fractions.

GCF of 312,155,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,470,378

LCM of Fractions 13/312,470/155,378/141 is 1154790

2 13, 470, 378
13, 235, 189

∴ So the LCM of the given numbers is 2 x 13 x 235 x 189 = 1154790

Least Common Multiple of 13,470,378 with GCF Formula

Least Common Multiple of 13,470,378 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 13,470,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,470,378) = 1

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

GCF(13,470,378) x common factors =1 x 2 = 2

LCM(13,470,378) = ( 13 × 470 × 378 ) / 2

LCM(13,470,378) = 2309580 / 2

LCM(13,470,378) = 1154790


Lets's calculate GCF of 312,155,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1154790/1

Therefore the LCM of Fractions 13/312,470/155,378/141 is 1154790

Greatest Common Factor of 312,155,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,155,141 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 312,155,141 . The biggest common factor number is the GCF number.
So the greatest common factor 312,155,141 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 13/312, 470/155, 378/141

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 13/312, 470/155, 378/141?

Answer: LCM of Numerators as per given numbers 13/312, 470/155, 378/141 is

LCM of Numerators i.e. for 13,470,378 is 1154790

GCF of denominators i.e. for 312,155,141 is 1.

Thus, LCM of Fractions is 1154790.Finally, LCM of Fractions for 13/312, 470/155, 378/141 is 1154790.