Least Common Multiple of 45/62, 75/79, 69/17, 87/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/62, 75/79, 69/17, 87/272 quickly i.e. 150075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/62, 75/79, 69/17, 87/272 is 150075.

LCM(45/62, 75/79, 69/17, 87/272) = 150075

LCM of 45/62, 75/79, 69/17, 87/272

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 45/62,75/79,69/17,87/272

Given numbers are 45/62,75/79,69/17,87/272

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 45,75,69,87

Least Common Multiple of Numerators i.e. LCM of 45,75,69,87 is 150075.

GCF of Denominators means GCF of 62,79,17,272 as per the given fractions.

GCF of 62,79,17,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,75,69,87

LCM of Fractions 45/62,75/79,69/17,87/272 is 150075

3 45, 75, 69, 87
5 15, 25, 23, 29
3, 5, 23, 29

∴ So the LCM of the given numbers is 3 x 5 x 3 x 5 x 23 x 29 = 150075

Least Common Multiple of 45,75,69,87 with GCF Formula

Least Common Multiple of 45,75,69,87 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 45,75,69,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,75,69,87) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(45,75,69,87) x common factors =3 x 45 = 135

LCM(45,75,69,87) = ( 45 × 75 × 69 × 87 ) / 135

LCM(45,75,69,87) = 20260125 / 135

LCM(45,75,69,87) = 150075


Lets's calculate GCF of 62,79,17,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150075/1

Therefore the LCM of Fractions 45/62,75/79,69/17,87/272 is 150075

Greatest Common Factor of 62,79,17,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,79,17,272 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 62,79,17,272 . The biggest common factor number is the GCF number.
So the greatest common factor 62,79,17,272 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 45/62, 75/79, 69/17, 87/272

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 45/62, 75/79, 69/17, 87/272?

Answer: LCM of Numerators as per given numbers 45/62, 75/79, 69/17, 87/272 is

LCM of Numerators i.e. for 45,75,69,87 is 150075

GCF of denominators i.e. for 62,79,17,272 is 1.

Thus, LCM of Fractions is 150075.Finally, LCM of Fractions for 45/62, 75/79, 69/17, 87/272 is 150075.