Least Common Multiple of 5149/133, 6472/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5149/133, 6472/483 quickly i.e. 33324328/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5149/133, 6472/483 is 33324328/7.

LCM(5149/133, 6472/483) = 33324328/7

LCM of 5149/133, 6472/483

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 5149/133,6472/483

Given numbers are 5149/133,6472/483

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 5149,6472

Least Common Multiple of Numerators i.e. LCM of 5149,6472 is 33324328.

GCF of Denominators means GCF of 133,483 as per the given fractions.

GCF of 133,483 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5149,6472

LCM of Fractions 5149/133,6472/483 is 33324328/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 33324328

Least Common Multiple of 5149,6472 with GCF Formula

Least Common Multiple of 5149,6472 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 5149,6472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5149,6472) = 1

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

GCF(5149,6472) x common factors =1 x 1 = 1

LCM(5149,6472) = ( 5149 × 6472 ) / 1

LCM(5149,6472) = 33324328 / 1

LCM(5149,6472) = 33324328


Lets's calculate GCF of 133,483

7 133, 483
19, 69

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33324328/7

Therefore the LCM of Fractions 5149/133,6472/483 is 33324328/7

Greatest Common Factor of 133,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,483 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 133,483 . The biggest common factor number is the GCF number.
So the greatest common factor 133,483 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5149/133, 6472/483

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 5149/133, 6472/483?

Answer: LCM of Numerators as per given numbers 5149/133, 6472/483 is

LCM of Numerators i.e. for 5149,6472 is 33324328

GCF of denominators i.e. for 133,483 is 7.

Thus, LCM of Fractions is 33324328/7.Finally, LCM of Fractions for 5149/133, 6472/483 is 33324328/7.