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LCM of 458, 756, 363, 609

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


Find the LCM of 458, 756, 363, 609 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 458, 756, 363, 609. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,756,363,609

Given numbers are 458,756,363,609

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

The LCM of 458,756,363,609 is 607492116.

Find LCM of 458,756,363,609 with Prime Factorization


2 458, 756, 363, 609
3 229, 378, 363, 609
7 229, 126, 121, 203
229, 18, 121, 29

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

2 x 3 x 7 x 229 x 18 x 121 x 29 = 607492116

Therefore, the lowest common multiple of 458,756,363,609 is 607492116.

LCM Formula to Find Lowest Common Multiple of 458,756,363,609

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.

458 x 756 x 363 x 609 = 76544006616

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.

458 : 1, 2, 229, 458

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

363 : 1, 3, 11, 33, 121, 363

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,756,363,609, is 1.

Now, the common factors can be found like this.

458:2x 229

756:2x 2x 3x 3x 3x 7

363:3x 11x 11

609:3x 7x 29

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 76544006616/(1x126)

LCM = 76544006616/126

LCM = 607492116

Thus, we can understand that the LCM of 458,756,363,609 is 607492116.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 756, 363, 609

1. What is the LCM of 458, 756, 363, 609?

Answer: LCM of 458, 756, 363, 609 is 607492116.

2. How to calculate the LCM of 458, 756, 363, 609?

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 458, 756, 363, 609.

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}.