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LCM of 452, 312, 306, 583, 689

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


Find the LCM of 452, 312, 306, 583, 689 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 452, 312, 306, 583, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,312,306,583,689

Given numbers are 452,312,306,583,689

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

The LCM of 452,312,306,583,689 is 1048266648.

Find LCM of 452,312,306,583,689 with Prime Factorization


2 452, 312, 306, 583, 689
2 226, 156, 153, 583, 689
3 113, 78, 153, 583, 689
13 113, 26, 51, 583, 689
53 113, 2, 51, 583, 53
113, 2, 51, 11, 1

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

2 x 2 x 3 x 13 x 53 x 113 x 2 x 51 x 11 x 1 = 1048266648

Therefore, the lowest common multiple of 452,312,306,583,689 is 1048266648.

LCM Formula to Find Lowest Common Multiple of 452,312,306,583,689

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.

452 x 312 x 306 x 583 x 689 = 17334137291328

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.

452 : 1, 2, 4, 113, 226, 452

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

583 : 1, 11, 53, 583

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,312,306,583,689, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

312:2x 2x 2x 3x 13

306:2x 3x 3x 17

583:11x 53

689:13x 53

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 3x 13x 53 = 16536

Therefore, the value for common factors is 16536.

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 = 17334137291328/(1x16536)

LCM = 17334137291328/16536

LCM = 1048266648

Thus, we can understand that the LCM of 452,312,306,583,689 is 1048266648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 312, 306, 583, 689

1. What is the LCM of 452, 312, 306, 583, 689?

Answer: LCM of 452, 312, 306, 583, 689 is 1048266648.

2. How to calculate the LCM of 452, 312, 306, 583, 689?

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 452, 312, 306, 583, 689.

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}.