Least Common Multiple of 877/360, 120/335, 228/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 877/360, 120/335, 228/330 quickly i.e. 399912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 877/360, 120/335, 228/330 is 399912.

LCM(877/360, 120/335, 228/330) = 399912

LCM of 877/360, 120/335, 228/330

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 877/360,120/335,228/330

Given numbers are 877/360,120/335,228/330

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 877,120,228

Least Common Multiple of Numerators i.e. LCM of 877,120,228 is 1999560.

GCF of Denominators means GCF of 360,335,330 as per the given fractions.

GCF of 360,335,330 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 877,120,228

LCM of Fractions 877/360,120/335,228/330 is 399912

2 877, 120, 228
2 877, 60, 114
3 877, 30, 57
877, 10, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 877 x 10 x 19 = 1999560

Least Common Multiple of 877,120,228 with GCF Formula

Least Common Multiple of 877,120,228 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 877,120,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,120,228) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(877,120,228) x common factors =1 x 12 = 12

LCM(877,120,228) = ( 877 × 120 × 228 ) / 12

LCM(877,120,228) = 23994720 / 12

LCM(877,120,228) = 1999560


Lets's calculate GCF of 360,335,330

5 360, 335, 330
72, 67, 66

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1999560/5

Therefore the LCM of Fractions 877/360,120/335,228/330 is 399912

Greatest Common Factor of 360,335,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,335,330 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 360,335,330 . The biggest common factor number is the GCF number.
So the greatest common factor 360,335,330 is 5.


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 877/360, 120/335, 228/330

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 877/360, 120/335, 228/330?

Answer: LCM of Numerators as per given numbers 877/360, 120/335, 228/330 is

LCM of Numerators i.e. for 877,120,228 is 1999560

GCF of denominators i.e. for 360,335,330 is 5.

Thus, LCM of Fractions is 399912.Finally, LCM of Fractions for 877/360, 120/335, 228/330 is 399912.