Least Common Multiple of 60/91, 56/84, 585/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/91, 56/84, 585/34 quickly i.e. 32760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/91, 56/84, 585/34 is 32760.

LCM(60/91, 56/84, 585/34) = 32760

LCM of 60/91, 56/84, 585/34

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 60/91,56/84,585/34

Given numbers are 60/91,56/84,585/34

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 60,56,585

Least Common Multiple of Numerators i.e. LCM of 60,56,585 is 32760.

GCF of Denominators means GCF of 91,84,34 as per the given fractions.

GCF of 91,84,34 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,56,585

LCM of Fractions 60/91,56/84,585/34 is 32760

2 60, 56, 585
2 30, 28, 585
3 15, 14, 585
5 5, 14, 195
1, 14, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 14 x 39 = 32760

Least Common Multiple of 60,56,585 with GCF Formula

Least Common Multiple of 60,56,585 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 60,56,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,56,585) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(60,56,585) x common factors =1 x 60 = 60

LCM(60,56,585) = ( 60 × 56 × 585 ) / 60

LCM(60,56,585) = 1965600 / 60

LCM(60,56,585) = 32760


Lets's calculate GCF of 91,84,34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32760/1

Therefore the LCM of Fractions 60/91,56/84,585/34 is 32760

Greatest Common Factor of 91,84,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,84,34 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 91,84,34 . The biggest common factor number is the GCF number.
So the greatest common factor 91,84,34 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 60/91, 56/84, 585/34

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 60/91, 56/84, 585/34?

Answer: LCM of Numerators as per given numbers 60/91, 56/84, 585/34 is

LCM of Numerators i.e. for 60,56,585 is 32760

GCF of denominators i.e. for 91,84,34 is 1.

Thus, LCM of Fractions is 32760.Finally, LCM of Fractions for 60/91, 56/84, 585/34 is 32760.