Least Common Multiple of 659/90, 424/1475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/90, 424/1475 quickly i.e. 279416/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/90, 424/1475 is 279416/5.

LCM(659/90, 424/1475) = 279416/5

LCM of 659/90, 424/1475

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 659/90,424/1475

Given numbers are 659/90,424/1475

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 659,424

Least Common Multiple of Numerators i.e. LCM of 659,424 is 279416.

GCF of Denominators means GCF of 90,1475 as per the given fractions.

GCF of 90,1475 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,424

LCM of Fractions 659/90,424/1475 is 279416/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 279416

Least Common Multiple of 659,424 with GCF Formula

Least Common Multiple of 659,424 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 659,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,424) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(659,424) x common factors =1 x 1 = 1

LCM(659,424) = ( 659 × 424 ) / 1

LCM(659,424) = 279416 / 1

LCM(659,424) = 279416


Lets's calculate GCF of 90,1475

5 90, 1475
18, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279416/5

Therefore the LCM of Fractions 659/90,424/1475 is 279416/5

Greatest Common Factor of 90,1475 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,1475 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1,5,25,59,295,1475

Greatest Common Factor

We found the factors 90,1475 . The biggest common factor number is the GCF number.
So the greatest common factor 90,1475 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 659/90, 424/1475

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 659/90, 424/1475?

Answer: LCM of Numerators as per given numbers 659/90, 424/1475 is

LCM of Numerators i.e. for 659,424 is 279416

GCF of denominators i.e. for 90,1475 is 5.

Thus, LCM of Fractions is 279416/5.Finally, LCM of Fractions for 659/90, 424/1475 is 279416/5.