Least Common Multiple of 235/120, 9304/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 235/120, 9304/880 quickly i.e. 54661 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 235/120, 9304/880 is 54661.

LCM(235/120, 9304/880) = 54661

LCM of 235/120, 9304/880

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 235/120,9304/880

Given numbers are 235/120,9304/880

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 235,9304

Least Common Multiple of Numerators i.e. LCM of 235,9304 is 2186440.

GCF of Denominators means GCF of 120,880 as per the given fractions.

GCF of 120,880 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 235,9304

LCM of Fractions 235/120,9304/880 is 54661

Given numbers has no common factors except 1. So, there LCM is their product i.e 2186440

Least Common Multiple of 235,9304 with GCF Formula

Least Common Multiple of 235,9304 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 235,9304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,9304) = 1

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

GCF(235,9304) x common factors =1 x 1 = 1

LCM(235,9304) = ( 235 × 9304 ) / 1

LCM(235,9304) = 2186440 / 1

LCM(235,9304) = 2186440


Lets's calculate GCF of 120,880

2 120, 880
2 60, 440
2 30, 220
5 15, 110
3, 22

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2186440/40

Therefore the LCM of Fractions 235/120,9304/880 is 54661

Greatest Common Factor of 120,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,880 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 120,880 . The biggest common factor number is the GCF number.
So the greatest common factor 120,880 is 40.


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 235/120, 9304/880

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 235/120, 9304/880?

Answer: LCM of Numerators as per given numbers 235/120, 9304/880 is

LCM of Numerators i.e. for 235,9304 is 2186440

GCF of denominators i.e. for 120,880 is 40.

Thus, LCM of Fractions is 54661.Finally, LCM of Fractions for 235/120, 9304/880 is 54661.