Least Common Multiple of 825/15, 120/60, 407/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/15, 120/60, 407/222 quickly i.e. 81400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/15, 120/60, 407/222 is 81400.

LCM(825/15, 120/60, 407/222) = 81400

LCM of 825/15, 120/60, 407/222

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 825/15,120/60,407/222

Given numbers are 825/15,120/60,407/222

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 825,120,407

Least Common Multiple of Numerators i.e. LCM of 825,120,407 is 244200.

GCF of Denominators means GCF of 15,60,222 as per the given fractions.

GCF of 15,60,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,120,407

LCM of Fractions 825/15,120/60,407/222 is 81400

3 825, 120, 407
5 275, 40, 407
11 55, 8, 407
5, 8, 37

∴ So the LCM of the given numbers is 3 x 5 x 11 x 5 x 8 x 37 = 244200

Least Common Multiple of 825,120,407 with GCF Formula

Least Common Multiple of 825,120,407 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 825,120,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,120,407) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(825,120,407) x common factors =1 x 165 = 165

LCM(825,120,407) = ( 825 × 120 × 407 ) / 165

LCM(825,120,407) = 40293000 / 165

LCM(825,120,407) = 244200


Lets's calculate GCF of 15,60,222

3 15, 60, 222
5, 20, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244200/3

Therefore the LCM of Fractions 825/15,120/60,407/222 is 81400

Greatest Common Factor of 15,60,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,60,222 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 15,60,222 . The biggest common factor number is the GCF number.
So the greatest common factor 15,60,222 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 825/15, 120/60, 407/222

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 825/15, 120/60, 407/222?

Answer: LCM of Numerators as per given numbers 825/15, 120/60, 407/222 is

LCM of Numerators i.e. for 825,120,407 is 244200

GCF of denominators i.e. for 15,60,222 is 3.

Thus, LCM of Fractions is 81400.Finally, LCM of Fractions for 825/15, 120/60, 407/222 is 81400.