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LCM of 436, 472, 793, 997

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


Find the LCM of 436, 472, 793, 997 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 436, 472, 793, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 436,472,793,997

Given numbers are 436,472,793,997

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

The LCM of 436,472,793,997 is 40675869208.

Find LCM of 436,472,793,997 with Prime Factorization


2 436, 472, 793, 997
2 218, 236, 793, 997
109, 118, 793, 997

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

2 x 2 x 109 x 118 x 793 x 997 = 40675869208

Therefore, the lowest common multiple of 436,472,793,997 is 40675869208.

LCM Formula to Find Lowest Common Multiple of 436,472,793,997

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.

436 x 472 x 793 x 997 = 162703476832

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.

436 : 1, 2, 4, 109, 218, 436

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

793 : 1, 13, 61, 793

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,472,793,997, is 1.

Now, the common factors can be found like this.

436:2x 2x 109

472:2x 2x 2x 59

793:13x 61

997:997

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 162703476832/(1x4)

LCM = 162703476832/4

LCM = 40675869208

Thus, we can understand that the LCM of 436,472,793,997 is 40675869208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 436, 472, 793, 997

1. What is the LCM of 436, 472, 793, 997?

Answer: LCM of 436, 472, 793, 997 is 40675869208.

2. How to calculate the LCM of 436, 472, 793, 997?

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 436, 472, 793, 997.

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}.