Least Common Multiple of 315/26, 473/2964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/26, 473/2964 quickly i.e. 148995/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/26, 473/2964 is 148995/26.

LCM(315/26, 473/2964) = 148995/26

LCM of 315/26, 473/2964

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 315/26,473/2964

Given numbers are 315/26,473/2964

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 315,473

Least Common Multiple of Numerators i.e. LCM of 315,473 is 148995.

GCF of Denominators means GCF of 26,2964 as per the given fractions.

GCF of 26,2964 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,473

LCM of Fractions 315/26,473/2964 is 148995/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 148995

Least Common Multiple of 315,473 with GCF Formula

Least Common Multiple of 315,473 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 315,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,473) = 1

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

GCF(315,473) x common factors =1 x 1 = 1

LCM(315,473) = ( 315 × 473 ) / 1

LCM(315,473) = 148995 / 1

LCM(315,473) = 148995


Lets's calculate GCF of 26,2964

2 26, 2964
13 13, 1482
1, 114

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148995/26

Therefore the LCM of Fractions 315/26,473/2964 is 148995/26

Greatest Common Factor of 26,2964 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,2964 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 2964

List of positive integer factors of 2964 that divides 2964 without a remainder.

1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964

Greatest Common Factor

We found the factors 26,2964 . The biggest common factor number is the GCF number.
So the greatest common factor 26,2964 is 26.


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 315/26, 473/2964

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 315/26, 473/2964?

Answer: LCM of Numerators as per given numbers 315/26, 473/2964 is

LCM of Numerators i.e. for 315,473 is 148995

GCF of denominators i.e. for 26,2964 is 26.

Thus, LCM of Fractions is 148995/26.Finally, LCM of Fractions for 315/26, 473/2964 is 148995/26.