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LCM of 326, 944, 767, 416, 645

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


Find the LCM of 326, 944, 767, 416, 645 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 326, 944, 767, 416, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,944,767,416,645

Given numbers are 326,944,767,416,645

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

The LCM of 326,944,767,416,645 is 2580433440.

Find LCM of 326,944,767,416,645 with Prime Factorization


2 326, 944, 767, 416, 645
2 163, 472, 767, 208, 645
2 163, 236, 767, 104, 645
2 163, 118, 767, 52, 645
13 163, 59, 767, 26, 645
59 163, 59, 59, 2, 645
163, 1, 1, 2, 645

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

2 x 2 x 2 x 2 x 13 x 59 x 163 x 1 x 1 x 2 x 645 = 2580433440

Therefore, the lowest common multiple of 326,944,767,416,645 is 2580433440.

LCM Formula to Find Lowest Common Multiple of 326,944,767,416,645

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.

326 x 944 x 767 x 416 x 645 = 63334158351360

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.

326 : 1, 2, 163, 326

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

767 : 1, 13, 59, 767

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,944,767,416,645, is 1.

Now, the common factors can be found like this.

326:2x 163

944:2x 2x 2x 2x 59

767:13x 59

416:2x 2x 2x 2x 2x 13

645:3x 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 2x 13x 59 = 24544

Therefore, the value for common factors is 24544.

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 = 63334158351360/(1x24544)

LCM = 63334158351360/24544

LCM = 2580433440

Thus, we can understand that the LCM of 326,944,767,416,645 is 2580433440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 944, 767, 416, 645

1. What is the LCM of 326, 944, 767, 416, 645?

Answer: LCM of 326, 944, 767, 416, 645 is 2580433440.

2. How to calculate the LCM of 326, 944, 767, 416, 645?

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 326, 944, 767, 416, 645.

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}.