Least Common Multiple of 1507/407, 1263/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1507/407, 1263/627 quickly i.e. 173031 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1507/407, 1263/627 is 173031.

LCM(1507/407, 1263/627) = 173031

LCM of 1507/407, 1263/627

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 1507/407,1263/627

Given numbers are 1507/407,1263/627

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 1507,1263

Least Common Multiple of Numerators i.e. LCM of 1507,1263 is 1903341.

GCF of Denominators means GCF of 407,627 as per the given fractions.

GCF of 407,627 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1507,1263

LCM of Fractions 1507/407,1263/627 is 173031

Given numbers has no common factors except 1. So, there LCM is their product i.e 1903341

Least Common Multiple of 1507,1263 with GCF Formula

Least Common Multiple of 1507,1263 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 1507,1263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1507,1263) = 1

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

GCF(1507,1263) x common factors =1 x 1 = 1

LCM(1507,1263) = ( 1507 × 1263 ) / 1

LCM(1507,1263) = 1903341 / 1

LCM(1507,1263) = 1903341


Lets's calculate GCF of 407,627

11 407, 627
37, 57

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1903341/11

Therefore the LCM of Fractions 1507/407,1263/627 is 173031

Greatest Common Factor of 407,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,627 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 407,627 . The biggest common factor number is the GCF number.
So the greatest common factor 407,627 is 11.


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 1507/407, 1263/627

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 1507/407, 1263/627?

Answer: LCM of Numerators as per given numbers 1507/407, 1263/627 is

LCM of Numerators i.e. for 1507,1263 is 1903341

GCF of denominators i.e. for 407,627 is 11.

Thus, LCM of Fractions is 173031.Finally, LCM of Fractions for 1507/407, 1263/627 is 173031.