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LCM of 736, 226, 757, 450, 920

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


Find the LCM of 736, 226, 757, 450, 920 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 736, 226, 757, 450, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,226,757,450,920

Given numbers are 736,226,757,450,920

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

The LCM of 736,226,757,450,920 is 14165589600.

Find LCM of 736,226,757,450,920 with Prime Factorization


2 736, 226, 757, 450, 920
2 368, 113, 757, 225, 460
2 184, 113, 757, 225, 230
5 92, 113, 757, 225, 115
23 92, 113, 757, 45, 23
4, 113, 757, 45, 1

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

2 x 2 x 2 x 5 x 23 x 4 x 113 x 757 x 45 x 1 = 14165589600

Therefore, the lowest common multiple of 736,226,757,450,920 is 14165589600.

LCM Formula to Find Lowest Common Multiple of 736,226,757,450,920

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.

736 x 226 x 757 x 450 x 920 = 52129369728000

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

226 : 1, 2, 113, 226

757 : 1, 757

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,226,757,450,920, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

226:2x 113

757:757

450:2x 3x 3x 5x 5

920:2x 2x 2x 5x 23

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 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 52129369728000/(1x3680)

LCM = 52129369728000/3680

LCM = 14165589600

Thus, we can understand that the LCM of 736,226,757,450,920 is 14165589600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 226, 757, 450, 920

1. What is the LCM of 736, 226, 757, 450, 920?

Answer: LCM of 736, 226, 757, 450, 920 is 14165589600.

2. How to calculate the LCM of 736, 226, 757, 450, 920?

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 736, 226, 757, 450, 920.

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}.