Least Common Multiple of 22/85, 76/45, 15/40, 24/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/85, 76/45, 15/40, 24/703 quickly i.e. 25080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/85, 76/45, 15/40, 24/703 is 25080.

LCM(22/85, 76/45, 15/40, 24/703) = 25080

LCM of 22/85, 76/45, 15/40, 24/703

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 22/85,76/45,15/40,24/703

Given numbers are 22/85,76/45,15/40,24/703

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 22,76,15,24

Least Common Multiple of Numerators i.e. LCM of 22,76,15,24 is 25080.

GCF of Denominators means GCF of 85,45,40,703 as per the given fractions.

GCF of 85,45,40,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,76,15,24

LCM of Fractions 22/85,76/45,15/40,24/703 is 25080

2 22, 76, 15, 24
2 11, 38, 15, 12
3 11, 19, 15, 6
11, 19, 5, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 19 x 5 x 2 = 25080

Least Common Multiple of 22,76,15,24 with GCF Formula

Least Common Multiple of 22,76,15,24 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 22,76,15,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,76,15,24) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(22,76,15,24) x common factors =1 x 24 = 24

LCM(22,76,15,24) = ( 22 × 76 × 15 × 24 ) / 24

LCM(22,76,15,24) = 601920 / 24

LCM(22,76,15,24) = 25080


Lets's calculate GCF of 85,45,40,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25080/1

Therefore the LCM of Fractions 22/85,76/45,15/40,24/703 is 25080

Greatest Common Factor of 85,45,40,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,45,40,703 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 85,45,40,703 . The biggest common factor number is the GCF number.
So the greatest common factor 85,45,40,703 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 22/85, 76/45, 15/40, 24/703

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 22/85, 76/45, 15/40, 24/703?

Answer: LCM of Numerators as per given numbers 22/85, 76/45, 15/40, 24/703 is

LCM of Numerators i.e. for 22,76,15,24 is 25080

GCF of denominators i.e. for 85,45,40,703 is 1.

Thus, LCM of Fractions is 25080.Finally, LCM of Fractions for 22/85, 76/45, 15/40, 24/703 is 25080.