Least Common Multiple of 334/125, 184/720, 580/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/125, 184/720, 580/361 quickly i.e. 4455560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/125, 184/720, 580/361 is 4455560.

LCM(334/125, 184/720, 580/361) = 4455560

LCM of 334/125, 184/720, 580/361

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 334/125,184/720,580/361

Given numbers are 334/125,184/720,580/361

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 334,184,580

Least Common Multiple of Numerators i.e. LCM of 334,184,580 is 4455560.

GCF of Denominators means GCF of 125,720,361 as per the given fractions.

GCF of 125,720,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,184,580

LCM of Fractions 334/125,184/720,580/361 is 4455560

2 334, 184, 580
2 167, 92, 290
167, 46, 145

∴ So the LCM of the given numbers is 2 x 2 x 167 x 46 x 145 = 4455560

Least Common Multiple of 334,184,580 with GCF Formula

Least Common Multiple of 334,184,580 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 334,184,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,184,580) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(334,184,580) x common factors =2 x 4 = 8

LCM(334,184,580) = ( 334 × 184 × 580 ) / 8

LCM(334,184,580) = 35644480 / 8

LCM(334,184,580) = 4455560


Lets's calculate GCF of 125,720,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4455560/1

Therefore the LCM of Fractions 334/125,184/720,580/361 is 4455560

Greatest Common Factor of 125,720,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,720,361 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 125,720,361 . The biggest common factor number is the GCF number.
So the greatest common factor 125,720,361 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 334/125, 184/720, 580/361

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 334/125, 184/720, 580/361?

Answer: LCM of Numerators as per given numbers 334/125, 184/720, 580/361 is

LCM of Numerators i.e. for 334,184,580 is 4455560

GCF of denominators i.e. for 125,720,361 is 1.

Thus, LCM of Fractions is 4455560.Finally, LCM of Fractions for 334/125, 184/720, 580/361 is 4455560.