Least Common Multiple of 83/62, 59/18, 100/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/62, 59/18, 100/706 quickly i.e. 244850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/62, 59/18, 100/706 is 244850.

LCM(83/62, 59/18, 100/706) = 244850

LCM of 83/62, 59/18, 100/706

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 83/62,59/18,100/706

Given numbers are 83/62,59/18,100/706

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 83,59,100

Least Common Multiple of Numerators i.e. LCM of 83,59,100 is 489700.

GCF of Denominators means GCF of 62,18,706 as per the given fractions.

GCF of 62,18,706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,59,100

LCM of Fractions 83/62,59/18,100/706 is 244850

Given numbers has no common factors except 1. So, there LCM is their product i.e 489700

Least Common Multiple of 83,59,100 with GCF Formula

Least Common Multiple of 83,59,100 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 83,59,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,59,100) = 1

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

GCF(83,59,100) x common factors =1 x 1 = 1

LCM(83,59,100) = ( 83 × 59 × 100 ) / 1

LCM(83,59,100) = 489700 / 1

LCM(83,59,100) = 489700


Lets's calculate GCF of 62,18,706

2 62, 18, 706
31, 9, 353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489700/2

Therefore the LCM of Fractions 83/62,59/18,100/706 is 244850

Greatest Common Factor of 62,18,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,18,706 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 62,18,706 . The biggest common factor number is the GCF number.
So the greatest common factor 62,18,706 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 83/62, 59/18, 100/706

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 83/62, 59/18, 100/706?

Answer: LCM of Numerators as per given numbers 83/62, 59/18, 100/706 is

LCM of Numerators i.e. for 83,59,100 is 489700

GCF of denominators i.e. for 62,18,706 is 2.

Thus, LCM of Fractions is 244850.Finally, LCM of Fractions for 83/62, 59/18, 100/706 is 244850.