Least Common Multiple of 39/87, 628/31, 635/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/87, 628/31, 635/837 quickly i.e. 15552420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/87, 628/31, 635/837 is 15552420.

LCM(39/87, 628/31, 635/837) = 15552420

LCM of 39/87, 628/31, 635/837

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 39/87,628/31,635/837

Given numbers are 39/87,628/31,635/837

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 39,628,635

Least Common Multiple of Numerators i.e. LCM of 39,628,635 is 15552420.

GCF of Denominators means GCF of 87,31,837 as per the given fractions.

GCF of 87,31,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,628,635

LCM of Fractions 39/87,628/31,635/837 is 15552420

Given numbers has no common factors except 1. So, there LCM is their product i.e 15552420

Least Common Multiple of 39,628,635 with GCF Formula

Least Common Multiple of 39,628,635 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 39,628,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,628,635) = 1

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

GCF(39,628,635) x common factors =1 x 1 = 1

LCM(39,628,635) = ( 39 × 628 × 635 ) / 1

LCM(39,628,635) = 15552420 / 1

LCM(39,628,635) = 15552420


Lets's calculate GCF of 87,31,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15552420/1

Therefore the LCM of Fractions 39/87,628/31,635/837 is 15552420

Greatest Common Factor of 87,31,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,31,837 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 87,31,837 . The biggest common factor number is the GCF number.
So the greatest common factor 87,31,837 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 39/87, 628/31, 635/837

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 39/87, 628/31, 635/837?

Answer: LCM of Numerators as per given numbers 39/87, 628/31, 635/837 is

LCM of Numerators i.e. for 39,628,635 is 15552420

GCF of denominators i.e. for 87,31,837 is 1.

Thus, LCM of Fractions is 15552420.Finally, LCM of Fractions for 39/87, 628/31, 635/837 is 15552420.