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LCM of 476, 773, 609, 612, 412

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


Find the LCM of 476, 773, 609, 612, 412 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 476, 773, 609, 612, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,773,609,612,412

Given numbers are 476,773,609,612,412

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

The LCM of 476,773,609,612,412 is 9891546084.

Find LCM of 476,773,609,612,412 with Prime Factorization


2 476, 773, 609, 612, 412
2 238, 773, 609, 306, 206
3 119, 773, 609, 153, 103
7 119, 773, 203, 51, 103
17 17, 773, 29, 51, 103
1, 773, 29, 3, 103

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

2 x 2 x 3 x 7 x 17 x 1 x 773 x 29 x 3 x 103 = 9891546084

Therefore, the lowest common multiple of 476,773,609,612,412 is 9891546084.

LCM Formula to Find Lowest Common Multiple of 476,773,609,612,412

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.

476 x 773 x 609 x 612 x 412 = 56500511231808

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

773 : 1, 773

609 : 1, 3, 7, 21, 29, 87, 203, 609

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,773,609,612,412, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

773:773

609:3x 7x 29

612:2x 2x 3x 3x 17

412:2x 2x 103

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

2x 2x 2x 2x 3x 7x 17 = 5712

Therefore, the value for common factors is 5712.

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 = 56500511231808/(1x5712)

LCM = 56500511231808/5712

LCM = 9891546084

Thus, we can understand that the LCM of 476,773,609,612,412 is 9891546084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 773, 609, 612, 412

1. What is the LCM of 476, 773, 609, 612, 412?

Answer: LCM of 476, 773, 609, 612, 412 is 9891546084.

2. How to calculate the LCM of 476, 773, 609, 612, 412?

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 476, 773, 609, 612, 412.

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}.