Least Common Multiple of 507/16, 988/1475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/16, 988/1475 quickly i.e. 38532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/16, 988/1475 is 38532.

LCM(507/16, 988/1475) = 38532

LCM of 507/16, 988/1475

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 507/16,988/1475

Given numbers are 507/16,988/1475

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 507,988

Least Common Multiple of Numerators i.e. LCM of 507,988 is 38532.

GCF of Denominators means GCF of 16,1475 as per the given fractions.

GCF of 16,1475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,988

LCM of Fractions 507/16,988/1475 is 38532

13 507, 988
39, 76

∴ So the LCM of the given numbers is 13 x 39 x 76 = 38532

Least Common Multiple of 507,988 with GCF Formula

Least Common Multiple of 507,988 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 507,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,988) = 13

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

GCF(507,988) x common factors =13 x 1 = 13

LCM(507,988) = ( 507 × 988 ) / 13

LCM(507,988) = 500916 / 13

LCM(507,988) = 38532


Lets's calculate GCF of 16,1475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38532/1

Therefore the LCM of Fractions 507/16,988/1475 is 38532

Greatest Common Factor of 16,1475 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1475 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1,5,25,59,295,1475

Greatest Common Factor

We found the factors 16,1475 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1475 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 507/16, 988/1475

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 507/16, 988/1475?

Answer: LCM of Numerators as per given numbers 507/16, 988/1475 is

LCM of Numerators i.e. for 507,988 is 38532

GCF of denominators i.e. for 16,1475 is 1.

Thus, LCM of Fractions is 38532.Finally, LCM of Fractions for 507/16, 988/1475 is 38532.