Least Common Multiple of 229/145, 9617/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/145, 9617/540 quickly i.e. 2202293/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/145, 9617/540 is 2202293/5.

LCM(229/145, 9617/540) = 2202293/5

LCM of 229/145, 9617/540

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 229/145,9617/540

Given numbers are 229/145,9617/540

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 229,9617

Least Common Multiple of Numerators i.e. LCM of 229,9617 is 2202293.

GCF of Denominators means GCF of 145,540 as per the given fractions.

GCF of 145,540 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,9617

LCM of Fractions 229/145,9617/540 is 2202293/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 2202293

Least Common Multiple of 229,9617 with GCF Formula

Least Common Multiple of 229,9617 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 229,9617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,9617) = 1

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

GCF(229,9617) x common factors =1 x 1 = 1

LCM(229,9617) = ( 229 × 9617 ) / 1

LCM(229,9617) = 2202293 / 1

LCM(229,9617) = 2202293


Lets's calculate GCF of 145,540

5 145, 540
29, 108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2202293/5

Therefore the LCM of Fractions 229/145,9617/540 is 2202293/5

Greatest Common Factor of 145,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,540 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 145,540 . The biggest common factor number is the GCF number.
So the greatest common factor 145,540 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 229/145, 9617/540

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 229/145, 9617/540?

Answer: LCM of Numerators as per given numbers 229/145, 9617/540 is

LCM of Numerators i.e. for 229,9617 is 2202293

GCF of denominators i.e. for 145,540 is 5.

Thus, LCM of Fractions is 2202293/5.Finally, LCM of Fractions for 229/145, 9617/540 is 2202293/5.