Least Common Multiple of 507/60, 754/1737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/60, 754/1737 quickly i.e. 9802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/60, 754/1737 is 9802.

LCM(507/60, 754/1737) = 9802

LCM of 507/60, 754/1737

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 507/60,754/1737

Given numbers are 507/60,754/1737

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 507,754

Least Common Multiple of Numerators i.e. LCM of 507,754 is 29406.

GCF of Denominators means GCF of 60,1737 as per the given fractions.

GCF of 60,1737 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,754

LCM of Fractions 507/60,754/1737 is 9802

13 507, 754
39, 58

∴ So the LCM of the given numbers is 13 x 39 x 58 = 29406

Least Common Multiple of 507,754 with GCF Formula

Least Common Multiple of 507,754 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 507,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,754) = 13

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

GCF(507,754) x common factors =13 x 1 = 13

LCM(507,754) = ( 507 × 754 ) / 13

LCM(507,754) = 382278 / 13

LCM(507,754) = 29406


Lets's calculate GCF of 60,1737

3 60, 1737
20, 579

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29406/3

Therefore the LCM of Fractions 507/60,754/1737 is 9802

Greatest Common Factor of 60,1737 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,1737 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1,3,9,193,579,1737

Greatest Common Factor

We found the factors 60,1737 . The biggest common factor number is the GCF number.
So the greatest common factor 60,1737 is 3.


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 507/60, 754/1737

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 507/60, 754/1737?

Answer: LCM of Numerators as per given numbers 507/60, 754/1737 is

LCM of Numerators i.e. for 507,754 is 29406

GCF of denominators i.e. for 60,1737 is 3.

Thus, LCM of Fractions is 9802.Finally, LCM of Fractions for 507/60, 754/1737 is 9802.