Least Common Multiple of 235/39, 553/6120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 235/39, 553/6120 quickly i.e. 129955/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 235/39, 553/6120 is 129955/3.

LCM(235/39, 553/6120) = 129955/3

LCM of 235/39, 553/6120

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 235/39,553/6120

Given numbers are 235/39,553/6120

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 235,553

Least Common Multiple of Numerators i.e. LCM of 235,553 is 129955.

GCF of Denominators means GCF of 39,6120 as per the given fractions.

GCF of 39,6120 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 235,553

LCM of Fractions 235/39,553/6120 is 129955/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 129955

Least Common Multiple of 235,553 with GCF Formula

Least Common Multiple of 235,553 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 235,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,553) = 1

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

GCF(235,553) x common factors =1 x 1 = 1

LCM(235,553) = ( 235 × 553 ) / 1

LCM(235,553) = 129955 / 1

LCM(235,553) = 129955


Lets's calculate GCF of 39,6120

3 39, 6120
13, 2040

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129955/3

Therefore the LCM of Fractions 235/39,553/6120 is 129955/3

Greatest Common Factor of 39,6120 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,6120 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 6120

List of positive integer factors of 6120 that divides 6120 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120

Greatest Common Factor

We found the factors 39,6120 . The biggest common factor number is the GCF number.
So the greatest common factor 39,6120 is 3.


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 235/39, 553/6120

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 235/39, 553/6120?

Answer: LCM of Numerators as per given numbers 235/39, 553/6120 is

LCM of Numerators i.e. for 235,553 is 129955

GCF of denominators i.e. for 39,6120 is 3.

Thus, LCM of Fractions is 129955/3.Finally, LCM of Fractions for 235/39, 553/6120 is 129955/3.