Least Common Multiple of 625/30, 759/3717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 625/30, 759/3717 quickly i.e. 158125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/30, 759/3717 is 158125.

LCM(625/30, 759/3717) = 158125

LCM of 625/30, 759/3717

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 625/30,759/3717

Given numbers are 625/30,759/3717

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 625,759

Least Common Multiple of Numerators i.e. LCM of 625,759 is 474375.

GCF of Denominators means GCF of 30,3717 as per the given fractions.

GCF of 30,3717 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,759

LCM of Fractions 625/30,759/3717 is 158125

Given numbers has no common factors except 1. So, there LCM is their product i.e 474375

Least Common Multiple of 625,759 with GCF Formula

Least Common Multiple of 625,759 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 625,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,759) = 1

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

GCF(625,759) x common factors =1 x 1 = 1

LCM(625,759) = ( 625 × 759 ) / 1

LCM(625,759) = 474375 / 1

LCM(625,759) = 474375


Lets's calculate GCF of 30,3717

3 30, 3717
10, 1239

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474375/3

Therefore the LCM of Fractions 625/30,759/3717 is 158125

Greatest Common Factor of 30,3717 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,3717 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1,3,7,9,21,59,63,177,413,531,1239,3717

Greatest Common Factor

We found the factors 30,3717 . The biggest common factor number is the GCF number.
So the greatest common factor 30,3717 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 625/30, 759/3717

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 625/30, 759/3717?

Answer: LCM of Numerators as per given numbers 625/30, 759/3717 is

LCM of Numerators i.e. for 625,759 is 474375

GCF of denominators i.e. for 30,3717 is 3.

Thus, LCM of Fractions is 158125.Finally, LCM of Fractions for 625/30, 759/3717 is 158125.