Least Common Multiple of 84/14, 30/35, 86/67, 80/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/14, 30/35, 86/67, 80/32 quickly i.e. 72240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/14, 30/35, 86/67, 80/32 is 72240.

LCM(84/14, 30/35, 86/67, 80/32) = 72240

LCM of 84/14, 30/35, 86/67, 80/32

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 84/14,30/35,86/67,80/32

Given numbers are 84/14,30/35,86/67,80/32

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 84,30,86,80

Least Common Multiple of Numerators i.e. LCM of 84,30,86,80 is 72240.

GCF of Denominators means GCF of 14,35,67,32 as per the given fractions.

GCF of 14,35,67,32 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,30,86,80

LCM of Fractions 84/14,30/35,86/67,80/32 is 72240

2 84, 30, 86, 80
2 42, 15, 43, 40
3 21, 15, 43, 20
5 7, 5, 43, 20
7, 1, 43, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 43 x 4 = 72240

Least Common Multiple of 84,30,86,80 with GCF Formula

Least Common Multiple of 84,30,86,80 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 84,30,86,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,30,86,80) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(84,30,86,80) x common factors =2 x 120 = 240

LCM(84,30,86,80) = ( 84 × 30 × 86 × 80 ) / 240

LCM(84,30,86,80) = 17337600 / 240

LCM(84,30,86,80) = 72240


Lets's calculate GCF of 14,35,67,32

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72240/1

Therefore the LCM of Fractions 84/14,30/35,86/67,80/32 is 72240

Greatest Common Factor of 14,35,67,32 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,35,67,32 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 35

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

1,5,7,35

Factors of 67

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

1,67

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Greatest Common Factor

We found the factors 14,35,67,32 . The biggest common factor number is the GCF number.
So the greatest common factor 14,35,67,32 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 84/14, 30/35, 86/67, 80/32

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 84/14, 30/35, 86/67, 80/32?

Answer: LCM of Numerators as per given numbers 84/14, 30/35, 86/67, 80/32 is

LCM of Numerators i.e. for 84,30,86,80 is 72240

GCF of denominators i.e. for 14,35,67,32 is 1.

Thus, LCM of Fractions is 72240.Finally, LCM of Fractions for 84/14, 30/35, 86/67, 80/32 is 72240.