Least Common Multiple of 83/442, 5241/1648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/442, 5241/1648 quickly i.e. 435003/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/442, 5241/1648 is 435003/2.

LCM(83/442, 5241/1648) = 435003/2

LCM of 83/442, 5241/1648

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 83/442,5241/1648

Given numbers are 83/442,5241/1648

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 83,5241

Least Common Multiple of Numerators i.e. LCM of 83,5241 is 435003.

GCF of Denominators means GCF of 442,1648 as per the given fractions.

GCF of 442,1648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,5241

LCM of Fractions 83/442,5241/1648 is 435003/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 435003

Least Common Multiple of 83,5241 with GCF Formula

Least Common Multiple of 83,5241 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 83,5241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,5241) = 1

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

GCF(83,5241) x common factors =1 x 1 = 1

LCM(83,5241) = ( 83 × 5241 ) / 1

LCM(83,5241) = 435003 / 1

LCM(83,5241) = 435003


Lets's calculate GCF of 442,1648

2 442, 1648
221, 824

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435003/2

Therefore the LCM of Fractions 83/442,5241/1648 is 435003/2

Greatest Common Factor of 442,1648 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,1648 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 1648

List of positive integer factors of 1648 that divides 1648 without a remainder.

1,2,4,8,16,103,206,412,824,1648

Greatest Common Factor

We found the factors 442,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 442,1648 is 2.


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 83/442, 5241/1648

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 83/442, 5241/1648?

Answer: LCM of Numerators as per given numbers 83/442, 5241/1648 is

LCM of Numerators i.e. for 83,5241 is 435003

GCF of denominators i.e. for 442,1648 is 2.

Thus, LCM of Fractions is 435003/2.Finally, LCM of Fractions for 83/442, 5241/1648 is 435003/2.