Least Common Multiple of 345/603, 144/640, 332/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/603, 144/640, 332/250 quickly i.e. 1374480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/603, 144/640, 332/250 is 1374480.

LCM(345/603, 144/640, 332/250) = 1374480

LCM of 345/603, 144/640, 332/250

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 345/603,144/640,332/250

Given numbers are 345/603,144/640,332/250

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 345,144,332

Least Common Multiple of Numerators i.e. LCM of 345,144,332 is 1374480.

GCF of Denominators means GCF of 603,640,250 as per the given fractions.

GCF of 603,640,250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,144,332

LCM of Fractions 345/603,144/640,332/250 is 1374480

2 345, 144, 332
2 345, 72, 166
3 345, 36, 83
115, 12, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 115 x 12 x 83 = 1374480

Least Common Multiple of 345,144,332 with GCF Formula

Least Common Multiple of 345,144,332 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 345,144,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,144,332) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(345,144,332) x common factors =1 x 12 = 12

LCM(345,144,332) = ( 345 × 144 × 332 ) / 12

LCM(345,144,332) = 16493760 / 12

LCM(345,144,332) = 1374480


Lets's calculate GCF of 603,640,250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1374480/1

Therefore the LCM of Fractions 345/603,144/640,332/250 is 1374480

Greatest Common Factor of 603,640,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,640,250 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 603,640,250 . The biggest common factor number is the GCF number.
So the greatest common factor 603,640,250 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 345/603, 144/640, 332/250

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 345/603, 144/640, 332/250?

Answer: LCM of Numerators as per given numbers 345/603, 144/640, 332/250 is

LCM of Numerators i.e. for 345,144,332 is 1374480

GCF of denominators i.e. for 603,640,250 is 1.

Thus, LCM of Fractions is 1374480.Finally, LCM of Fractions for 345/603, 144/640, 332/250 is 1374480.