Least Common Multiple of 507/45, 905/5485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 507/45, 905/5485 quickly i.e. 91767 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, 905/5485 is 91767.

LCM(507/45, 905/5485) = 91767

LCM of 507/45, 905/5485

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 507/45,905/5485

Given numbers are 507/45,905/5485

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 507,905

Least Common Multiple of Numerators i.e. LCM of 507,905 is 458835.

GCF of Denominators means GCF of 45,5485 as per the given fractions.

GCF of 45,5485 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,905

LCM of Fractions 507/45,905/5485 is 91767

Given numbers has no common factors except 1. So, there LCM is their product i.e 458835

Least Common Multiple of 507,905 with GCF Formula

Least Common Multiple of 507,905 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 507,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,905) = 1

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

GCF(507,905) x common factors =1 x 1 = 1

LCM(507,905) = ( 507 × 905 ) / 1

LCM(507,905) = 458835 / 1

LCM(507,905) = 458835


Lets's calculate GCF of 45,5485

5 45, 5485
9, 1097

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458835/5

Therefore the LCM of Fractions 507/45,905/5485 is 91767

Greatest Common Factor of 45,5485 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,5485 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 5485

List of positive integer factors of 5485 that divides 5485 without a remainder.

1,5,1097,5485

Greatest Common Factor

We found the factors 45,5485 . The biggest common factor number is the GCF number.
So the greatest common factor 45,5485 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 507/45, 905/5485

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, 905/5485?

Answer: LCM of Numerators as per given numbers 507/45, 905/5485 is

LCM of Numerators i.e. for 507,905 is 458835

GCF of denominators i.e. for 45,5485 is 5.

Thus, LCM of Fractions is 91767.Finally, LCM of Fractions for 507/45, 905/5485 is 91767.