Least Common Multiple of 147/29, 355/48, 460/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/29, 355/48, 460/345 quickly i.e. 4801020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/29, 355/48, 460/345 is 4801020.

LCM(147/29, 355/48, 460/345) = 4801020

LCM of 147/29, 355/48, 460/345

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 147/29,355/48,460/345

Given numbers are 147/29,355/48,460/345

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 147,355,460

Least Common Multiple of Numerators i.e. LCM of 147,355,460 is 4801020.

GCF of Denominators means GCF of 29,48,345 as per the given fractions.

GCF of 29,48,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,355,460

LCM of Fractions 147/29,355/48,460/345 is 4801020

5 147, 355, 460
147, 71, 92

∴ So the LCM of the given numbers is 5 x 147 x 71 x 92 = 4801020

Least Common Multiple of 147,355,460 with GCF Formula

Least Common Multiple of 147,355,460 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 147,355,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,355,460) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(147,355,460) x common factors =1 x 5 = 5

LCM(147,355,460) = ( 147 × 355 × 460 ) / 5

LCM(147,355,460) = 24005100 / 5

LCM(147,355,460) = 4801020


Lets's calculate GCF of 29,48,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4801020/1

Therefore the LCM of Fractions 147/29,355/48,460/345 is 4801020

Greatest Common Factor of 29,48,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,48,345 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 29,48,345 . The biggest common factor number is the GCF number.
So the greatest common factor 29,48,345 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 147/29, 355/48, 460/345

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 147/29, 355/48, 460/345?

Answer: LCM of Numerators as per given numbers 147/29, 355/48, 460/345 is

LCM of Numerators i.e. for 147,355,460 is 4801020

GCF of denominators i.e. for 29,48,345 is 1.

Thus, LCM of Fractions is 4801020.Finally, LCM of Fractions for 147/29, 355/48, 460/345 is 4801020.