Least Common Multiple of 84/300, 72/900, 905/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/300, 72/900, 905/765 quickly i.e. 30408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/300, 72/900, 905/765 is 30408.

LCM(84/300, 72/900, 905/765) = 30408

LCM of 84/300, 72/900, 905/765

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 84/300,72/900,905/765

Given numbers are 84/300,72/900,905/765

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 84,72,905

Least Common Multiple of Numerators i.e. LCM of 84,72,905 is 456120.

GCF of Denominators means GCF of 300,900,765 as per the given fractions.

GCF of 300,900,765 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,72,905

LCM of Fractions 84/300,72/900,905/765 is 30408

2 84, 72, 905
2 42, 36, 905
3 21, 18, 905
7, 6, 905

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 6 x 905 = 456120

Least Common Multiple of 84,72,905 with GCF Formula

Least Common Multiple of 84,72,905 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 84,72,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,72,905) = 1

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

GCF(84,72,905) x common factors =1 x 12 = 12

LCM(84,72,905) = ( 84 × 72 × 905 ) / 12

LCM(84,72,905) = 5473440 / 12

LCM(84,72,905) = 456120


Lets's calculate GCF of 300,900,765

3 300, 900, 765
5 100, 300, 255
20, 60, 51

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456120/15

Therefore the LCM of Fractions 84/300,72/900,905/765 is 30408

Greatest Common Factor of 300,900,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,900,765 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 300,900,765 . The biggest common factor number is the GCF number.
So the greatest common factor 300,900,765 is 15.


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 84/300, 72/900, 905/765

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 84/300, 72/900, 905/765?

Answer: LCM of Numerators as per given numbers 84/300, 72/900, 905/765 is

LCM of Numerators i.e. for 84,72,905 is 456120

GCF of denominators i.e. for 300,900,765 is 15.

Thus, LCM of Fractions is 30408.Finally, LCM of Fractions for 84/300, 72/900, 905/765 is 30408.