Least Common Multiple of 1731/352, 7732/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1731/352, 7732/580 quickly i.e. 3346023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1731/352, 7732/580 is 3346023.

LCM(1731/352, 7732/580) = 3346023

LCM of 1731/352, 7732/580

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 1731/352,7732/580

Given numbers are 1731/352,7732/580

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 1731,7732

Least Common Multiple of Numerators i.e. LCM of 1731,7732 is 13384092.

GCF of Denominators means GCF of 352,580 as per the given fractions.

GCF of 352,580 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1731,7732

LCM of Fractions 1731/352,7732/580 is 3346023

Given numbers has no common factors except 1. So, there LCM is their product i.e 13384092

Least Common Multiple of 1731,7732 with GCF Formula

Least Common Multiple of 1731,7732 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 1731,7732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1731,7732) = 1

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

GCF(1731,7732) x common factors =1 x 1 = 1

LCM(1731,7732) = ( 1731 × 7732 ) / 1

LCM(1731,7732) = 13384092 / 1

LCM(1731,7732) = 13384092


Lets's calculate GCF of 352,580

2 352, 580
2 176, 290
88, 145

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13384092/4

Therefore the LCM of Fractions 1731/352,7732/580 is 3346023

Greatest Common Factor of 352,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,580 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 352,580 . The biggest common factor number is the GCF number.
So the greatest common factor 352,580 is 4.


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 1731/352, 7732/580

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 1731/352, 7732/580?

Answer: LCM of Numerators as per given numbers 1731/352, 7732/580 is

LCM of Numerators i.e. for 1731,7732 is 13384092

GCF of denominators i.e. for 352,580 is 4.

Thus, LCM of Fractions is 3346023.Finally, LCM of Fractions for 1731/352, 7732/580 is 3346023.