Least Common Multiple of 85/45, 240/75, 943/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/45, 240/75, 943/515 quickly i.e. 769488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/45, 240/75, 943/515 is 769488.

LCM(85/45, 240/75, 943/515) = 769488

LCM of 85/45, 240/75, 943/515

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 85/45,240/75,943/515

Given numbers are 85/45,240/75,943/515

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 85,240,943

Least Common Multiple of Numerators i.e. LCM of 85,240,943 is 3847440.

GCF of Denominators means GCF of 45,75,515 as per the given fractions.

GCF of 45,75,515 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,240,943

LCM of Fractions 85/45,240/75,943/515 is 769488

5 85, 240, 943
17, 48, 943

∴ So the LCM of the given numbers is 5 x 17 x 48 x 943 = 3847440

Least Common Multiple of 85,240,943 with GCF Formula

Least Common Multiple of 85,240,943 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 85,240,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,240,943) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,240,943) x common factors =1 x 5 = 5

LCM(85,240,943) = ( 85 × 240 × 943 ) / 5

LCM(85,240,943) = 19237200 / 5

LCM(85,240,943) = 3847440


Lets's calculate GCF of 45,75,515

5 45, 75, 515
9, 15, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3847440/5

Therefore the LCM of Fractions 85/45,240/75,943/515 is 769488

Greatest Common Factor of 45,75,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,75,515 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 45,75,515 . The biggest common factor number is the GCF number.
So the greatest common factor 45,75,515 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 85/45, 240/75, 943/515

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 85/45, 240/75, 943/515?

Answer: LCM of Numerators as per given numbers 85/45, 240/75, 943/515 is

LCM of Numerators i.e. for 85,240,943 is 3847440

GCF of denominators i.e. for 45,75,515 is 5.

Thus, LCM of Fractions is 769488.Finally, LCM of Fractions for 85/45, 240/75, 943/515 is 769488.