Least Common Multiple of 5/30, 6/72, 6/35, 84/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/30, 6/72, 6/35, 84/765 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/30, 6/72, 6/35, 84/765 is 420.

LCM(5/30, 6/72, 6/35, 84/765) = 420

LCM of 5/30, 6/72, 6/35, 84/765

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 5/30,6/72,6/35,84/765

Given numbers are 5/30,6/72,6/35,84/765

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 5,6,6,84

Least Common Multiple of Numerators i.e. LCM of 5,6,6,84 is 420.

GCF of Denominators means GCF of 30,72,35,765 as per the given fractions.

GCF of 30,72,35,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,6,6,84

LCM of Fractions 5/30,6/72,6/35,84/765 is 420

2 5, 6, 6, 84
3 5, 3, 3, 42
5, 1, 1, 14

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 1 x 14 = 420

Least Common Multiple of 5,6,6,84 with GCF Formula

Least Common Multiple of 5,6,6,84 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 5,6,6,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,6,6,84) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(5,6,6,84) x common factors =1 x 36 = 36

LCM(5,6,6,84) = ( 5 × 6 × 6 × 84 ) / 36

LCM(5,6,6,84) = 15120 / 36

LCM(5,6,6,84) = 420


Lets's calculate GCF of 30,72,35,765

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/1

Therefore the LCM of Fractions 5/30,6/72,6/35,84/765 is 420

Greatest Common Factor of 30,72,35,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,72,35,765 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

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 30,72,35,765 . The biggest common factor number is the GCF number.
So the greatest common factor 30,72,35,765 is 1.


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 5/30, 6/72, 6/35, 84/765

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 5/30, 6/72, 6/35, 84/765?

Answer: LCM of Numerators as per given numbers 5/30, 6/72, 6/35, 84/765 is

LCM of Numerators i.e. for 5,6,6,84 is 420

GCF of denominators i.e. for 30,72,35,765 is 1.

Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 5/30, 6/72, 6/35, 84/765 is 420.