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LCM of 665, 374, 618, 833

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


Find the LCM of 665, 374, 618, 833 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 665, 374, 618, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 665,374,618,833

Given numbers are 665,374,618,833

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

The LCM of 665,374,618,833 is 537959730.

Find LCM of 665,374,618,833 with Prime Factorization


2 665, 374, 618, 833
7 665, 187, 309, 833
17 95, 187, 309, 119
95, 11, 309, 7

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

2 x 7 x 17 x 95 x 11 x 309 x 7 = 537959730

Therefore, the lowest common multiple of 665,374,618,833 is 537959730.

LCM Formula to Find Lowest Common Multiple of 665,374,618,833

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.

665 x 374 x 618 x 833 = 128034415740

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.

665 : 1, 5, 7, 19, 35, 95, 133, 665

374 : 1, 2, 11, 17, 22, 34, 187, 374

618 : 1, 2, 3, 6, 103, 206, 309, 618

833 : 1, 7, 17, 49, 119, 833

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,374,618,833, is 1.

Now, the common factors can be found like this.

665:5x 7x 19

374:2x 11x 17

618:2x 3x 103

833:7x 7x 17

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

2x 7x 17 = 238

Therefore, the value for common factors is 238.

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 = 128034415740/(1x238)

LCM = 128034415740/238

LCM = 537959730

Thus, we can understand that the LCM of 665,374,618,833 is 537959730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 665, 374, 618, 833

1. What is the LCM of 665, 374, 618, 833?

Answer: LCM of 665, 374, 618, 833 is 537959730.

2. How to calculate the LCM of 665, 374, 618, 833?

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 665, 374, 618, 833.

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}.