Least Common Multiple of 507/45, 1267/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/45, 1267/228 quickly i.e. 214123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/45, 1267/228 is 214123.

LCM(507/45, 1267/228) = 214123

LCM of 507/45, 1267/228

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 507/45,1267/228

Given numbers are 507/45,1267/228

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 507,1267

Least Common Multiple of Numerators i.e. LCM of 507,1267 is 642369.

GCF of Denominators means GCF of 45,228 as per the given fractions.

GCF of 45,228 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,1267

LCM of Fractions 507/45,1267/228 is 214123

Given numbers has no common factors except 1. So, there LCM is their product i.e 642369

Least Common Multiple of 507,1267 with GCF Formula

Least Common Multiple of 507,1267 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 507,1267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,1267) = 1

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

GCF(507,1267) x common factors =1 x 1 = 1

LCM(507,1267) = ( 507 × 1267 ) / 1

LCM(507,1267) = 642369 / 1

LCM(507,1267) = 642369


Lets's calculate GCF of 45,228

3 45, 228
15, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 642369/3

Therefore the LCM of Fractions 507/45,1267/228 is 214123

Greatest Common Factor of 45,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,228 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 45,228 . The biggest common factor number is the GCF number.
So the greatest common factor 45,228 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 507/45, 1267/228

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 507/45, 1267/228?

Answer: LCM of Numerators as per given numbers 507/45, 1267/228 is

LCM of Numerators i.e. for 507,1267 is 642369

GCF of denominators i.e. for 45,228 is 3.

Thus, LCM of Fractions is 214123.Finally, LCM of Fractions for 507/45, 1267/228 is 214123.