Least Common Multiple of 84/67, 52/29, 28/72, 35/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/67, 52/29, 28/72, 35/765 quickly i.e. 5460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/67, 52/29, 28/72, 35/765 is 5460.

LCM(84/67, 52/29, 28/72, 35/765) = 5460

LCM of 84/67, 52/29, 28/72, 35/765

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 84/67,52/29,28/72,35/765

Given numbers are 84/67,52/29,28/72,35/765

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 84,52,28,35

Least Common Multiple of Numerators i.e. LCM of 84,52,28,35 is 5460.

GCF of Denominators means GCF of 67,29,72,765 as per the given fractions.

GCF of 67,29,72,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,52,28,35

LCM of Fractions 84/67,52/29,28/72,35/765 is 5460

2 84, 52, 28, 35
2 42, 26, 14, 35
7 21, 13, 7, 35
3, 13, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 13 x 1 x 5 = 5460

Least Common Multiple of 84,52,28,35 with GCF Formula

Least Common Multiple of 84,52,28,35 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 84,52,28,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,52,28,35) = 1

common factors(in case of two or more numbers have common factors) = 784

GCF(84,52,28,35) x common factors =1 x 784 = 784

LCM(84,52,28,35) = ( 84 × 52 × 28 × 35 ) / 784

LCM(84,52,28,35) = 4280640 / 784

LCM(84,52,28,35) = 5460


Lets's calculate GCF of 67,29,72,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/1

Therefore the LCM of Fractions 84/67,52/29,28/72,35/765 is 5460

Greatest Common Factor of 67,29,72,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,29,72,765 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

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 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 67,29,72,765 . The biggest common factor number is the GCF number.
So the greatest common factor 67,29,72,765 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 84/67, 52/29, 28/72, 35/765

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 84/67, 52/29, 28/72, 35/765?

Answer: LCM of Numerators as per given numbers 84/67, 52/29, 28/72, 35/765 is

LCM of Numerators i.e. for 84,52,28,35 is 5460

GCF of denominators i.e. for 67,29,72,765 is 1.

Thus, LCM of Fractions is 5460.Finally, LCM of Fractions for 84/67, 52/29, 28/72, 35/765 is 5460.