Least Common Multiple of 230/101, 9040/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/101, 9040/454 quickly i.e. 207920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/101, 9040/454 is 207920.

LCM(230/101, 9040/454) = 207920

LCM of 230/101, 9040/454

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 230/101,9040/454

Given numbers are 230/101,9040/454

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 230,9040

Least Common Multiple of Numerators i.e. LCM of 230,9040 is 207920.

GCF of Denominators means GCF of 101,454 as per the given fractions.

GCF of 101,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,9040

LCM of Fractions 230/101,9040/454 is 207920

2 230, 9040
5 115, 4520
23, 904

∴ So the LCM of the given numbers is 2 x 5 x 23 x 904 = 207920

Least Common Multiple of 230,9040 with GCF Formula

Least Common Multiple of 230,9040 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 230,9040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,9040) = 10

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

GCF(230,9040) x common factors =10 x 1 = 10

LCM(230,9040) = ( 230 × 9040 ) / 10

LCM(230,9040) = 2079200 / 10

LCM(230,9040) = 207920


Lets's calculate GCF of 101,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207920/1

Therefore the LCM of Fractions 230/101,9040/454 is 207920

Greatest Common Factor of 101,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,454 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 454

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

1,2,227,454

Greatest Common Factor

We found the factors 101,454 . The biggest common factor number is the GCF number.
So the greatest common factor 101,454 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 230/101, 9040/454

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 230/101, 9040/454?

Answer: LCM of Numerators as per given numbers 230/101, 9040/454 is

LCM of Numerators i.e. for 230,9040 is 207920

GCF of denominators i.e. for 101,454 is 1.

Thus, LCM of Fractions is 207920.Finally, LCM of Fractions for 230/101, 9040/454 is 207920.