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LCM of 452, 646, 374, 513, 860

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


Find the LCM of 452, 646, 374, 513, 860 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, 646, 374, 513, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,646,374,513,860

Given numbers are 452,646,374,513,860

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

The LCM of 452,646,374,513,860 is 9322574580.

Find LCM of 452,646,374,513,860 with Prime Factorization


2 452, 646, 374, 513, 860
2 226, 323, 187, 513, 430
17 113, 323, 187, 513, 215
19 113, 19, 11, 513, 215
113, 1, 11, 27, 215

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

2 x 2 x 17 x 19 x 113 x 1 x 11 x 27 x 215 = 9322574580

Therefore, the lowest common multiple of 452,646,374,513,860 is 9322574580.

LCM Formula to Find Lowest Common Multiple of 452,646,374,513,860

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 646 x 374 x 513 x 860 = 48179065429440

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

513 : 1, 3, 9, 19, 27, 57, 171, 513

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,646,374,513,860, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

646:2x 17x 19

374:2x 11x 17

513:3x 3x 3x 19

860:2x 2x 5x 43

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 17x 19 = 5168

Therefore, the value for common factors is 5168.

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 = 48179065429440/(1x5168)

LCM = 48179065429440/5168

LCM = 9322574580

Thus, we can understand that the LCM of 452,646,374,513,860 is 9322574580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 646, 374, 513, 860

1. What is the LCM of 452, 646, 374, 513, 860?

Answer: LCM of 452, 646, 374, 513, 860 is 9322574580.

2. How to calculate the LCM of 452, 646, 374, 513, 860?

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, 646, 374, 513, 860.

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}.