Least Common Multiple of 90/450, 51/537, 417/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/450, 51/537, 417/269 quickly i.e. 212670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/450, 51/537, 417/269 is 212670.

LCM(90/450, 51/537, 417/269) = 212670

LCM of 90/450, 51/537, 417/269

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 90/450,51/537,417/269

Given numbers are 90/450,51/537,417/269

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 90,51,417

Least Common Multiple of Numerators i.e. LCM of 90,51,417 is 212670.

GCF of Denominators means GCF of 450,537,269 as per the given fractions.

GCF of 450,537,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,51,417

LCM of Fractions 90/450,51/537,417/269 is 212670

3 90, 51, 417
30, 17, 139

∴ So the LCM of the given numbers is 3 x 30 x 17 x 139 = 212670

Least Common Multiple of 90,51,417 with GCF Formula

Least Common Multiple of 90,51,417 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 90,51,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,51,417) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(90,51,417) x common factors =3 x 3 = 9

LCM(90,51,417) = ( 90 × 51 × 417 ) / 9

LCM(90,51,417) = 1914030 / 9

LCM(90,51,417) = 212670


Lets's calculate GCF of 450,537,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212670/1

Therefore the LCM of Fractions 90/450,51/537,417/269 is 212670

Greatest Common Factor of 450,537,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,537,269 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 450,537,269 . The biggest common factor number is the GCF number.
So the greatest common factor 450,537,269 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 90/450, 51/537, 417/269

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 90/450, 51/537, 417/269?

Answer: LCM of Numerators as per given numbers 90/450, 51/537, 417/269 is

LCM of Numerators i.e. for 90,51,417 is 212670

GCF of denominators i.e. for 450,537,269 is 1.

Thus, LCM of Fractions is 212670.Finally, LCM of Fractions for 90/450, 51/537, 417/269 is 212670.