Least Common Multiple of 92/15, 60/79, 96/81, 70/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/15, 60/79, 96/81, 70/329 quickly i.e. 77280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/15, 60/79, 96/81, 70/329 is 77280.

LCM(92/15, 60/79, 96/81, 70/329) = 77280

LCM of 92/15, 60/79, 96/81, 70/329

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 92/15,60/79,96/81,70/329

Given numbers are 92/15,60/79,96/81,70/329

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 92,60,96,70

Least Common Multiple of Numerators i.e. LCM of 92,60,96,70 is 77280.

GCF of Denominators means GCF of 15,79,81,329 as per the given fractions.

GCF of 15,79,81,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,60,96,70

LCM of Fractions 92/15,60/79,96/81,70/329 is 77280

2 92, 60, 96, 70
2 46, 30, 48, 35
3 23, 15, 24, 35
5 23, 5, 8, 35
23, 1, 8, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 1 x 8 x 7 = 77280

Least Common Multiple of 92,60,96,70 with GCF Formula

Least Common Multiple of 92,60,96,70 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 92,60,96,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,60,96,70) = 2

common factors(in case of two or more numbers have common factors) = 240

GCF(92,60,96,70) x common factors =2 x 240 = 480

LCM(92,60,96,70) = ( 92 × 60 × 96 × 70 ) / 480

LCM(92,60,96,70) = 37094400 / 480

LCM(92,60,96,70) = 77280


Lets's calculate GCF of 15,79,81,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77280/1

Therefore the LCM of Fractions 92/15,60/79,96/81,70/329 is 77280

Greatest Common Factor of 15,79,81,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,79,81,329 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 81

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

1,3,9,27,81

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 15,79,81,329 . The biggest common factor number is the GCF number.
So the greatest common factor 15,79,81,329 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 92/15, 60/79, 96/81, 70/329

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 92/15, 60/79, 96/81, 70/329?

Answer: LCM of Numerators as per given numbers 92/15, 60/79, 96/81, 70/329 is

LCM of Numerators i.e. for 92,60,96,70 is 77280

GCF of denominators i.e. for 15,79,81,329 is 1.

Thus, LCM of Fractions is 77280.Finally, LCM of Fractions for 92/15, 60/79, 96/81, 70/329 is 77280.