Least Common Multiple of 345/61, 460/99, 340/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/61, 460/99, 340/58 quickly i.e. 23460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/61, 460/99, 340/58 is 23460.

LCM(345/61, 460/99, 340/58) = 23460

LCM of 345/61, 460/99, 340/58

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 345/61,460/99,340/58

Given numbers are 345/61,460/99,340/58

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 345,460,340

Least Common Multiple of Numerators i.e. LCM of 345,460,340 is 23460.

GCF of Denominators means GCF of 61,99,58 as per the given fractions.

GCF of 61,99,58 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,460,340

LCM of Fractions 345/61,460/99,340/58 is 23460

2 345, 460, 340
2 345, 230, 170
5 345, 115, 85
23 69, 23, 17
3, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 3 x 1 x 17 = 23460

Least Common Multiple of 345,460,340 with GCF Formula

Least Common Multiple of 345,460,340 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 345,460,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,460,340) = 5

common factors(in case of two or more numbers have common factors) = 460

GCF(345,460,340) x common factors =5 x 460 = 2300

LCM(345,460,340) = ( 345 × 460 × 340 ) / 2300

LCM(345,460,340) = 53958000 / 2300

LCM(345,460,340) = 23460


Lets's calculate GCF of 61,99,58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23460/1

Therefore the LCM of Fractions 345/61,460/99,340/58 is 23460

Greatest Common Factor of 61,99,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,99,58 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 61,99,58 . The biggest common factor number is the GCF number.
So the greatest common factor 61,99,58 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 345/61, 460/99, 340/58

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 345/61, 460/99, 340/58?

Answer: LCM of Numerators as per given numbers 345/61, 460/99, 340/58 is

LCM of Numerators i.e. for 345,460,340 is 23460

GCF of denominators i.e. for 61,99,58 is 1.

Thus, LCM of Fractions is 23460.Finally, LCM of Fractions for 345/61, 460/99, 340/58 is 23460.