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LCM of 731, 767, 414, 799, 601

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


Find the LCM of 731, 767, 414, 799, 601 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 731, 767, 414, 799, 601. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,767,414,799,601

Given numbers are 731,767,414,799,601

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

The LCM of 731,767,414,799,601 is 6556701492666.

Find LCM of 731,767,414,799,601 with Prime Factorization


17 731, 767, 414, 799, 601
43, 767, 414, 47, 601

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

17 x 43 x 767 x 414 x 47 x 601 = 6556701492666

Therefore, the lowest common multiple of 731,767,414,799,601 is 6556701492666.

LCM Formula to Find Lowest Common Multiple of 731,767,414,799,601

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.

731 x 767 x 414 x 799 x 601 = 111463925375322

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.

731 : 1, 17, 43, 731

767 : 1, 13, 59, 767

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

799 : 1, 17, 47, 799

601 : 1, 601

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,767,414,799,601, is 1.

Now, the common factors can be found like this.

731:17x 43

767:13x 59

414:2x 3x 3x 23

799:17x 47

601:601

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

17 = 17

Therefore, the value for common factors is 17.

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 = 111463925375322/(1x17)

LCM = 111463925375322/17

LCM = 6556701492666

Thus, we can understand that the LCM of 731,767,414,799,601 is 6556701492666.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 767, 414, 799, 601

1. What is the LCM of 731, 767, 414, 799, 601?

Answer: LCM of 731, 767, 414, 799, 601 is 6556701492666.

2. How to calculate the LCM of 731, 767, 414, 799, 601?

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 731, 767, 414, 799, 601.

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}.