Least Common Multiple of 106/839, 485/481, 206/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/839, 485/481, 206/762 quickly i.e. 5295230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/839, 485/481, 206/762 is 5295230.

LCM(106/839, 485/481, 206/762) = 5295230

LCM of 106/839, 485/481, 206/762

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 106/839,485/481,206/762

Given numbers are 106/839,485/481,206/762

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 106,485,206

Least Common Multiple of Numerators i.e. LCM of 106,485,206 is 5295230.

GCF of Denominators means GCF of 839,481,762 as per the given fractions.

GCF of 839,481,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,485,206

LCM of Fractions 106/839,485/481,206/762 is 5295230

2 106, 485, 206
53, 485, 103

∴ So the LCM of the given numbers is 2 x 53 x 485 x 103 = 5295230

Least Common Multiple of 106,485,206 with GCF Formula

Least Common Multiple of 106,485,206 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 106,485,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,485,206) = 1

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

GCF(106,485,206) x common factors =1 x 2 = 2

LCM(106,485,206) = ( 106 × 485 × 206 ) / 2

LCM(106,485,206) = 10590460 / 2

LCM(106,485,206) = 5295230


Lets's calculate GCF of 839,481,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5295230/1

Therefore the LCM of Fractions 106/839,485/481,206/762 is 5295230

Greatest Common Factor of 839,481,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,481,762 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 839,481,762 . The biggest common factor number is the GCF number.
So the greatest common factor 839,481,762 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 106/839, 485/481, 206/762

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 106/839, 485/481, 206/762?

Answer: LCM of Numerators as per given numbers 106/839, 485/481, 206/762 is

LCM of Numerators i.e. for 106,485,206 is 5295230

GCF of denominators i.e. for 839,481,762 is 1.

Thus, LCM of Fractions is 5295230.Finally, LCM of Fractions for 106/839, 485/481, 206/762 is 5295230.