Least Common Multiple of 115/631, 545/364, 522/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/631, 545/364, 522/312 quickly i.e. 6543270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/631, 545/364, 522/312 is 6543270.

LCM(115/631, 545/364, 522/312) = 6543270

LCM of 115/631, 545/364, 522/312

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 115/631,545/364,522/312

Given numbers are 115/631,545/364,522/312

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 115,545,522

Least Common Multiple of Numerators i.e. LCM of 115,545,522 is 6543270.

GCF of Denominators means GCF of 631,364,312 as per the given fractions.

GCF of 631,364,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,545,522

LCM of Fractions 115/631,545/364,522/312 is 6543270

5 115, 545, 522
23, 109, 522

∴ So the LCM of the given numbers is 5 x 23 x 109 x 522 = 6543270

Least Common Multiple of 115,545,522 with GCF Formula

Least Common Multiple of 115,545,522 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 115,545,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,545,522) = 1

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

GCF(115,545,522) x common factors =1 x 5 = 5

LCM(115,545,522) = ( 115 × 545 × 522 ) / 5

LCM(115,545,522) = 32716350 / 5

LCM(115,545,522) = 6543270


Lets's calculate GCF of 631,364,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6543270/1

Therefore the LCM of Fractions 115/631,545/364,522/312 is 6543270

Greatest Common Factor of 631,364,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,364,312 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

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

Greatest Common Factor

We found the factors 631,364,312 . The biggest common factor number is the GCF number.
So the greatest common factor 631,364,312 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 115/631, 545/364, 522/312

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 115/631, 545/364, 522/312?

Answer: LCM of Numerators as per given numbers 115/631, 545/364, 522/312 is

LCM of Numerators i.e. for 115,545,522 is 6543270

GCF of denominators i.e. for 631,364,312 is 1.

Thus, LCM of Fractions is 6543270.Finally, LCM of Fractions for 115/631, 545/364, 522/312 is 6543270.