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LCM of 191, 659, 318, 477

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 191, 659, 318, 477 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 191, 659, 318, 477. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 191,659,318,477

Given numbers are 191,659,318,477

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 191,659,318,477 is 120079026.

Find LCM of 191,659,318,477 with Prime Factorization


3 191, 659, 318, 477
53 191, 659, 106, 159
191, 659, 2, 3

Multiply the prime numbers at the bottom and the left side.

3 x 53 x 191 x 659 x 2 x 3 = 120079026

Therefore, the lowest common multiple of 191,659,318,477 is 120079026.

LCM Formula to Find Lowest Common Multiple of 191,659,318,477

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

191 x 659 x 318 x 477 = 19092565134

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

191 : 1, 191

659 : 1, 659

318 : 1, 2, 3, 6, 53, 106, 159, 318

477 : 1, 3, 9, 53, 159, 477

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,659,318,477, is 1.

Now, the common factors can be found like this.

191:191

659:659

318:2x 3x 53

477:3x 3x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 53 = 159

Therefore, the value for common factors is 159.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 19092565134/(1x159)

LCM = 19092565134/159

LCM = 120079026

Thus, we can understand that the LCM of 191,659,318,477 is 120079026.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 191, 659, 318, 477

1. What is the LCM of 191, 659, 318, 477?

Answer: LCM of 191, 659, 318, 477 is 120079026.

2. How to calculate the LCM of 191, 659, 318, 477?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 191, 659, 318, 477.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.