Least Common Multiple of 90/89, 85/34, 51/29, 30/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/89, 85/34, 51/29, 30/550 quickly i.e. 1530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/89, 85/34, 51/29, 30/550 is 1530.

LCM(90/89, 85/34, 51/29, 30/550) = 1530

LCM of 90/89, 85/34, 51/29, 30/550

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 90/89,85/34,51/29,30/550

Given numbers are 90/89,85/34,51/29,30/550

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 90,85,51,30

Least Common Multiple of Numerators i.e. LCM of 90,85,51,30 is 1530.

GCF of Denominators means GCF of 89,34,29,550 as per the given fractions.

GCF of 89,34,29,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,85,51,30

LCM of Fractions 90/89,85/34,51/29,30/550 is 1530

2 90, 85, 51, 30
3 45, 85, 51, 15
5 5, 85, 17, 15
17 1, 17, 17, 3
1, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 1 x 1 x 3 = 1530

Least Common Multiple of 90,85,51,30 with GCF Formula

Least Common Multiple of 90,85,51,30 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 90,85,51,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,85,51,30) = 1

common factors(in case of two or more numbers have common factors) = 7650

GCF(90,85,51,30) x common factors =1 x 7650 = 7650

LCM(90,85,51,30) = ( 90 × 85 × 51 × 30 ) / 7650

LCM(90,85,51,30) = 11704500 / 7650

LCM(90,85,51,30) = 1530


Lets's calculate GCF of 89,34,29,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1530/1

Therefore the LCM of Fractions 90/89,85/34,51/29,30/550 is 1530

Greatest Common Factor of 89,34,29,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,34,29,550 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 89,34,29,550 . The biggest common factor number is the GCF number.
So the greatest common factor 89,34,29,550 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 90/89, 85/34, 51/29, 30/550

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 90/89, 85/34, 51/29, 30/550?

Answer: LCM of Numerators as per given numbers 90/89, 85/34, 51/29, 30/550 is

LCM of Numerators i.e. for 90,85,51,30 is 1530

GCF of denominators i.e. for 89,34,29,550 is 1.

Thus, LCM of Fractions is 1530.Finally, LCM of Fractions for 90/89, 85/34, 51/29, 30/550 is 1530.