Least Common Multiple of 83/38, 50/42, 72/76, 59/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/38, 50/42, 72/76, 59/610 quickly i.e. 4407300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/38, 50/42, 72/76, 59/610 is 4407300.

LCM(83/38, 50/42, 72/76, 59/610) = 4407300

LCM of 83/38, 50/42, 72/76, 59/610

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 83/38,50/42,72/76,59/610

Given numbers are 83/38,50/42,72/76,59/610

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 83,50,72,59

Least Common Multiple of Numerators i.e. LCM of 83,50,72,59 is 8814600.

GCF of Denominators means GCF of 38,42,76,610 as per the given fractions.

GCF of 38,42,76,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,50,72,59

LCM of Fractions 83/38,50/42,72/76,59/610 is 4407300

2 83, 50, 72, 59
83, 25, 36, 59

∴ So the LCM of the given numbers is 2 x 83 x 25 x 36 x 59 = 8814600

Least Common Multiple of 83,50,72,59 with GCF Formula

Least Common Multiple of 83,50,72,59 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 83,50,72,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,50,72,59) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,50,72,59) x common factors =1 x 2 = 2

LCM(83,50,72,59) = ( 83 × 50 × 72 × 59 ) / 2

LCM(83,50,72,59) = 17629200 / 2

LCM(83,50,72,59) = 8814600


Lets's calculate GCF of 38,42,76,610

2 38, 42, 76, 610
19, 21, 38, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8814600/2

Therefore the LCM of Fractions 83/38,50/42,72/76,59/610 is 4407300

Greatest Common Factor of 38,42,76,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,42,76,610 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 38,42,76,610 . The biggest common factor number is the GCF number.
So the greatest common factor 38,42,76,610 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 83/38, 50/42, 72/76, 59/610

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 83/38, 50/42, 72/76, 59/610?

Answer: LCM of Numerators as per given numbers 83/38, 50/42, 72/76, 59/610 is

LCM of Numerators i.e. for 83,50,72,59 is 8814600

GCF of denominators i.e. for 38,42,76,610 is 2.

Thus, LCM of Fractions is 4407300.Finally, LCM of Fractions for 83/38, 50/42, 72/76, 59/610 is 4407300.