Least Common Multiple of 591/10, 312/45, 370/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/10, 312/45, 370/351 quickly i.e. 11370840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/10, 312/45, 370/351 is 11370840.

LCM(591/10, 312/45, 370/351) = 11370840

LCM of 591/10, 312/45, 370/351

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 591/10,312/45,370/351

Given numbers are 591/10,312/45,370/351

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 591,312,370

Least Common Multiple of Numerators i.e. LCM of 591,312,370 is 11370840.

GCF of Denominators means GCF of 10,45,351 as per the given fractions.

GCF of 10,45,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,312,370

LCM of Fractions 591/10,312/45,370/351 is 11370840

2 591, 312, 370
3 591, 156, 185
197, 52, 185

∴ So the LCM of the given numbers is 2 x 3 x 197 x 52 x 185 = 11370840

Least Common Multiple of 591,312,370 with GCF Formula

Least Common Multiple of 591,312,370 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 591,312,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,312,370) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(591,312,370) x common factors =1 x 6 = 6

LCM(591,312,370) = ( 591 × 312 × 370 ) / 6

LCM(591,312,370) = 68225040 / 6

LCM(591,312,370) = 11370840


Lets's calculate GCF of 10,45,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11370840/1

Therefore the LCM of Fractions 591/10,312/45,370/351 is 11370840

Greatest Common Factor of 10,45,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,45,351 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 10,45,351 . The biggest common factor number is the GCF number.
So the greatest common factor 10,45,351 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 591/10, 312/45, 370/351

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 591/10, 312/45, 370/351?

Answer: LCM of Numerators as per given numbers 591/10, 312/45, 370/351 is

LCM of Numerators i.e. for 591,312,370 is 11370840

GCF of denominators i.e. for 10,45,351 is 1.

Thus, LCM of Fractions is 11370840.Finally, LCM of Fractions for 591/10, 312/45, 370/351 is 11370840.