Least Common Multiple of 83/55, 16/49, 39/31, 66/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/55, 16/49, 39/31, 66/577 quickly i.e. 569712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/55, 16/49, 39/31, 66/577 is 569712.

LCM(83/55, 16/49, 39/31, 66/577) = 569712

LCM of 83/55, 16/49, 39/31, 66/577

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 83/55,16/49,39/31,66/577

Given numbers are 83/55,16/49,39/31,66/577

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 83,16,39,66

Least Common Multiple of Numerators i.e. LCM of 83,16,39,66 is 569712.

GCF of Denominators means GCF of 55,49,31,577 as per the given fractions.

GCF of 55,49,31,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,16,39,66

LCM of Fractions 83/55,16/49,39/31,66/577 is 569712

2 83, 16, 39, 66
3 83, 8, 39, 33
83, 8, 13, 11

∴ So the LCM of the given numbers is 2 x 3 x 83 x 8 x 13 x 11 = 569712

Least Common Multiple of 83,16,39,66 with GCF Formula

Least Common Multiple of 83,16,39,66 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 83,16,39,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,16,39,66) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(83,16,39,66) x common factors =1 x 6 = 6

LCM(83,16,39,66) = ( 83 × 16 × 39 × 66 ) / 6

LCM(83,16,39,66) = 3418272 / 6

LCM(83,16,39,66) = 569712


Lets's calculate GCF of 55,49,31,577

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569712/1

Therefore the LCM of Fractions 83/55,16/49,39/31,66/577 is 569712

Greatest Common Factor of 55,49,31,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,49,31,577 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 55,49,31,577 . The biggest common factor number is the GCF number.
So the greatest common factor 55,49,31,577 is 1.


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 83/55, 16/49, 39/31, 66/577

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 83/55, 16/49, 39/31, 66/577?

Answer: LCM of Numerators as per given numbers 83/55, 16/49, 39/31, 66/577 is

LCM of Numerators i.e. for 83,16,39,66 is 569712

GCF of denominators i.e. for 55,49,31,577 is 1.

Thus, LCM of Fractions is 569712.Finally, LCM of Fractions for 83/55, 16/49, 39/31, 66/577 is 569712.