Least Common Multiple of 83/362, 426/706, 242/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/362, 426/706, 242/508 quickly i.e. 2139159 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/362, 426/706, 242/508 is 2139159.

LCM(83/362, 426/706, 242/508) = 2139159

LCM of 83/362, 426/706, 242/508

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 83/362,426/706,242/508

Given numbers are 83/362,426/706,242/508

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 83,426,242

Least Common Multiple of Numerators i.e. LCM of 83,426,242 is 4278318.

GCF of Denominators means GCF of 362,706,508 as per the given fractions.

GCF of 362,706,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,426,242

LCM of Fractions 83/362,426/706,242/508 is 2139159

2 83, 426, 242
83, 213, 121

∴ So the LCM of the given numbers is 2 x 83 x 213 x 121 = 4278318

Least Common Multiple of 83,426,242 with GCF Formula

Least Common Multiple of 83,426,242 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 83,426,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,426,242) = 1

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

GCF(83,426,242) x common factors =1 x 2 = 2

LCM(83,426,242) = ( 83 × 426 × 242 ) / 2

LCM(83,426,242) = 8556636 / 2

LCM(83,426,242) = 4278318


Lets's calculate GCF of 362,706,508

2 362, 706, 508
181, 353, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4278318/2

Therefore the LCM of Fractions 83/362,426/706,242/508 is 2139159

Greatest Common Factor of 362,706,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,706,508 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 706

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

1,2,353,706

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 362,706,508 . The biggest common factor number is the GCF number.
So the greatest common factor 362,706,508 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 83/362, 426/706, 242/508

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 83/362, 426/706, 242/508?

Answer: LCM of Numerators as per given numbers 83/362, 426/706, 242/508 is

LCM of Numerators i.e. for 83,426,242 is 4278318

GCF of denominators i.e. for 362,706,508 is 2.

Thus, LCM of Fractions is 2139159.Finally, LCM of Fractions for 83/362, 426/706, 242/508 is 2139159.