Least Common Multiple of 78/35, 56/89, 84/81, 17/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/35, 56/89, 84/81, 17/746 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 78/35, 56/89, 84/81, 17/746 is 37128.

LCM(78/35, 56/89, 84/81, 17/746) = 37128

LCM of 78/35, 56/89, 84/81, 17/746

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 78/35,56/89,84/81,17/746

Given numbers are 78/35,56/89,84/81,17/746

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 78,56,84,17

Least Common Multiple of Numerators i.e. LCM of 78,56,84,17 is 37128.

GCF of Denominators means GCF of 35,89,81,746 as per the given fractions.

GCF of 35,89,81,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,56,84,17

LCM of Fractions 78/35,56/89,84/81,17/746 is 37128

2 78, 56, 84, 17
2 39, 28, 42, 17
3 39, 14, 21, 17
7 13, 14, 7, 17
13, 2, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 2 x 1 x 17 = 37128

Least Common Multiple of 78,56,84,17 with GCF Formula

Least Common Multiple of 78,56,84,17 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 78,56,84,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,56,84,17) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(78,56,84,17) x common factors =1 x 168 = 168

LCM(78,56,84,17) = ( 78 × 56 × 84 × 17 ) / 168

LCM(78,56,84,17) = 6237504 / 168

LCM(78,56,84,17) = 37128


Lets's calculate GCF of 35,89,81,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37128/1

Therefore the LCM of Fractions 78/35,56/89,84/81,17/746 is 37128

Greatest Common Factor of 35,89,81,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,89,81,746 By Matching Biggest Common Factor Method

Factors of 35

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

1,5,7,35

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 35,89,81,746 . The biggest common factor number is the GCF number.
So the greatest common factor 35,89,81,746 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 78/35, 56/89, 84/81, 17/746

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 78/35, 56/89, 84/81, 17/746?

Answer: LCM of Numerators as per given numbers 78/35, 56/89, 84/81, 17/746 is

LCM of Numerators i.e. for 78,56,84,17 is 37128

GCF of denominators i.e. for 35,89,81,746 is 1.

Thus, LCM of Fractions is 37128.Finally, LCM of Fractions for 78/35, 56/89, 84/81, 17/746 is 37128.