Least Common Multiple of 90/454, 909/924, 606/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/454, 909/924, 606/613 quickly i.e. 9090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/454, 909/924, 606/613 is 9090.

LCM(90/454, 909/924, 606/613) = 9090

LCM of 90/454, 909/924, 606/613

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 90/454,909/924,606/613

Given numbers are 90/454,909/924,606/613

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 90,909,606

Least Common Multiple of Numerators i.e. LCM of 90,909,606 is 9090.

GCF of Denominators means GCF of 454,924,613 as per the given fractions.

GCF of 454,924,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,909,606

LCM of Fractions 90/454,909/924,606/613 is 9090

2 90, 909, 606
3 45, 909, 303
3 15, 101, 303
101 5, 101, 101
5, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 101 x 5 x 1 x 1 = 9090

Least Common Multiple of 90,909,606 with GCF Formula

Least Common Multiple of 90,909,606 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 90,909,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,909,606) = 3

common factors(in case of two or more numbers have common factors) = 1818

GCF(90,909,606) x common factors =3 x 1818 = 5454

LCM(90,909,606) = ( 90 × 909 × 606 ) / 5454

LCM(90,909,606) = 49576860 / 5454

LCM(90,909,606) = 9090


Lets's calculate GCF of 454,924,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9090/1

Therefore the LCM of Fractions 90/454,909/924,606/613 is 9090

Greatest Common Factor of 454,924,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,924,613 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 454,924,613 . The biggest common factor number is the GCF number.
So the greatest common factor 454,924,613 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 90/454, 909/924, 606/613

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 90/454, 909/924, 606/613?

Answer: LCM of Numerators as per given numbers 90/454, 909/924, 606/613 is

LCM of Numerators i.e. for 90,909,606 is 9090

GCF of denominators i.e. for 454,924,613 is 1.

Thus, LCM of Fractions is 9090.Finally, LCM of Fractions for 90/454, 909/924, 606/613 is 9090.