Least Common Multiple of 85/60, 84/21, 76/56, 96/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/60, 84/21, 76/56, 96/266 quickly i.e. 1085280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/60, 84/21, 76/56, 96/266 is 1085280.

LCM(85/60, 84/21, 76/56, 96/266) = 1085280

LCM of 85/60, 84/21, 76/56, 96/266

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 85/60,84/21,76/56,96/266

Given numbers are 85/60,84/21,76/56,96/266

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 85,84,76,96

Least Common Multiple of Numerators i.e. LCM of 85,84,76,96 is 1085280.

GCF of Denominators means GCF of 60,21,56,266 as per the given fractions.

GCF of 60,21,56,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,84,76,96

LCM of Fractions 85/60,84/21,76/56,96/266 is 1085280

2 85, 84, 76, 96
2 85, 42, 38, 48
3 85, 21, 19, 24
85, 7, 19, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 85 x 7 x 19 x 8 = 1085280

Least Common Multiple of 85,84,76,96 with GCF Formula

Least Common Multiple of 85,84,76,96 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 85,84,76,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,84,76,96) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(85,84,76,96) x common factors =1 x 48 = 48

LCM(85,84,76,96) = ( 85 × 84 × 76 × 96 ) / 48

LCM(85,84,76,96) = 52093440 / 48

LCM(85,84,76,96) = 1085280


Lets's calculate GCF of 60,21,56,266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1085280/1

Therefore the LCM of Fractions 85/60,84/21,76/56,96/266 is 1085280

Greatest Common Factor of 60,21,56,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,21,56,266 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 60,21,56,266 . The biggest common factor number is the GCF number.
So the greatest common factor 60,21,56,266 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 85/60, 84/21, 76/56, 96/266

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 85/60, 84/21, 76/56, 96/266?

Answer: LCM of Numerators as per given numbers 85/60, 84/21, 76/56, 96/266 is

LCM of Numerators i.e. for 85,84,76,96 is 1085280

GCF of denominators i.e. for 60,21,56,266 is 1.

Thus, LCM of Fractions is 1085280.Finally, LCM of Fractions for 85/60, 84/21, 76/56, 96/266 is 1085280.