Least Common Multiple of 24/85, 32/10, 314/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/85, 32/10, 314/665 quickly i.e. 15072/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/85, 32/10, 314/665 is 15072/5.

LCM(24/85, 32/10, 314/665) = 15072/5

LCM of 24/85, 32/10, 314/665

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 24/85,32/10,314/665

Given numbers are 24/85,32/10,314/665

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 24,32,314

Least Common Multiple of Numerators i.e. LCM of 24,32,314 is 15072.

GCF of Denominators means GCF of 85,10,665 as per the given fractions.

GCF of 85,10,665 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,32,314

LCM of Fractions 24/85,32/10,314/665 is 15072/5

2 24, 32, 314
2 12, 16, 157
2 6, 8, 157
3, 4, 157

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 157 = 15072

Least Common Multiple of 24,32,314 with GCF Formula

Least Common Multiple of 24,32,314 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 24,32,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,32,314) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(24,32,314) x common factors =2 x 8 = 16

LCM(24,32,314) = ( 24 × 32 × 314 ) / 16

LCM(24,32,314) = 241152 / 16

LCM(24,32,314) = 15072


Lets's calculate GCF of 85,10,665

5 85, 10, 665
17, 2, 133

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15072/5

Therefore the LCM of Fractions 24/85,32/10,314/665 is 15072/5

Greatest Common Factor of 85,10,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,10,665 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 85,10,665 . The biggest common factor number is the GCF number.
So the greatest common factor 85,10,665 is 5.


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 24/85, 32/10, 314/665

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 24/85, 32/10, 314/665?

Answer: LCM of Numerators as per given numbers 24/85, 32/10, 314/665 is

LCM of Numerators i.e. for 24,32,314 is 15072

GCF of denominators i.e. for 85,10,665 is 5.

Thus, LCM of Fractions is 15072/5.Finally, LCM of Fractions for 24/85, 32/10, 314/665 is 15072/5.