Least Common Multiple of 14/315, 3134/1461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/315, 3134/1461 quickly i.e. 21938/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/315, 3134/1461 is 21938/3.

LCM(14/315, 3134/1461) = 21938/3

LCM of 14/315, 3134/1461

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 14/315,3134/1461

Given numbers are 14/315,3134/1461

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 14,3134

Least Common Multiple of Numerators i.e. LCM of 14,3134 is 21938.

GCF of Denominators means GCF of 315,1461 as per the given fractions.

GCF of 315,1461 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,3134

LCM of Fractions 14/315,3134/1461 is 21938/3

2 14, 3134
7, 1567

∴ So the LCM of the given numbers is 2 x 7 x 1567 = 21938

Least Common Multiple of 14,3134 with GCF Formula

Least Common Multiple of 14,3134 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 14,3134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,3134) = 2

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

GCF(14,3134) x common factors =2 x 1 = 2

LCM(14,3134) = ( 14 × 3134 ) / 2

LCM(14,3134) = 43876 / 2

LCM(14,3134) = 21938


Lets's calculate GCF of 315,1461

3 315, 1461
105, 487

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21938/3

Therefore the LCM of Fractions 14/315,3134/1461 is 21938/3

Greatest Common Factor of 315,1461 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,1461 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1,3,487,1461

Greatest Common Factor

We found the factors 315,1461 . The biggest common factor number is the GCF number.
So the greatest common factor 315,1461 is 3.


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 14/315, 3134/1461

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 14/315, 3134/1461?

Answer: LCM of Numerators as per given numbers 14/315, 3134/1461 is

LCM of Numerators i.e. for 14,3134 is 21938

GCF of denominators i.e. for 315,1461 is 3.

Thus, LCM of Fractions is 21938/3.Finally, LCM of Fractions for 14/315, 3134/1461 is 21938/3.