Least Common Multiple of 84/70, 39/14, 16/36, 51/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/70, 39/14, 16/36, 51/68 quickly i.e. 37128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/70, 39/14, 16/36, 51/68 is 37128.

LCM(84/70, 39/14, 16/36, 51/68) = 37128

LCM of 84/70, 39/14, 16/36, 51/68

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 84/70,39/14,16/36,51/68

Given numbers are 84/70,39/14,16/36,51/68

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 84,39,16,51

Least Common Multiple of Numerators i.e. LCM of 84,39,16,51 is 74256.

GCF of Denominators means GCF of 70,14,36,68 as per the given fractions.

GCF of 70,14,36,68 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,39,16,51

LCM of Fractions 84/70,39/14,16/36,51/68 is 37128

2 84, 39, 16, 51
2 42, 39, 8, 51
3 21, 39, 4, 51
7, 13, 4, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 4 x 17 = 74256

Least Common Multiple of 84,39,16,51 with GCF Formula

Least Common Multiple of 84,39,16,51 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 84,39,16,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,39,16,51) = 1

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

GCF(84,39,16,51) x common factors =1 x 36 = 36

LCM(84,39,16,51) = ( 84 × 39 × 16 × 51 ) / 36

LCM(84,39,16,51) = 2673216 / 36

LCM(84,39,16,51) = 74256


Lets's calculate GCF of 70,14,36,68

2 70, 14, 36, 68
35, 7, 18, 34

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74256/2

Therefore the LCM of Fractions 84/70,39/14,16/36,51/68 is 37128

Greatest Common Factor of 70,14,36,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,14,36,68 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 14

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

1,2,7,14

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 70,14,36,68 . The biggest common factor number is the GCF number.
So the greatest common factor 70,14,36,68 is 2.


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 84/70, 39/14, 16/36, 51/68

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 84/70, 39/14, 16/36, 51/68?

Answer: LCM of Numerators as per given numbers 84/70, 39/14, 16/36, 51/68 is

LCM of Numerators i.e. for 84,39,16,51 is 74256

GCF of denominators i.e. for 70,14,36,68 is 2.

Thus, LCM of Fractions is 37128.Finally, LCM of Fractions for 84/70, 39/14, 16/36, 51/68 is 37128.