Least Common Multiple of 59/390, 52/145, 837/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/390, 52/145, 837/308 quickly i.e. 2567916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/390, 52/145, 837/308 is 2567916.

LCM(59/390, 52/145, 837/308) = 2567916

LCM of 59/390, 52/145, 837/308

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 59/390,52/145,837/308

Given numbers are 59/390,52/145,837/308

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 59,52,837

Least Common Multiple of Numerators i.e. LCM of 59,52,837 is 2567916.

GCF of Denominators means GCF of 390,145,308 as per the given fractions.

GCF of 390,145,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,52,837

LCM of Fractions 59/390,52/145,837/308 is 2567916

Given numbers has no common factors except 1. So, there LCM is their product i.e 2567916

Least Common Multiple of 59,52,837 with GCF Formula

Least Common Multiple of 59,52,837 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 59,52,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,52,837) = 1

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

GCF(59,52,837) x common factors =1 x 1 = 1

LCM(59,52,837) = ( 59 × 52 × 837 ) / 1

LCM(59,52,837) = 2567916 / 1

LCM(59,52,837) = 2567916


Lets's calculate GCF of 390,145,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2567916/1

Therefore the LCM of Fractions 59/390,52/145,837/308 is 2567916

Greatest Common Factor of 390,145,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,145,308 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 390,145,308 . The biggest common factor number is the GCF number.
So the greatest common factor 390,145,308 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 59/390, 52/145, 837/308

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 59/390, 52/145, 837/308?

Answer: LCM of Numerators as per given numbers 59/390, 52/145, 837/308 is

LCM of Numerators i.e. for 59,52,837 is 2567916

GCF of denominators i.e. for 390,145,308 is 1.

Thus, LCM of Fractions is 2567916.Finally, LCM of Fractions for 59/390, 52/145, 837/308 is 2567916.