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LCM of 730, 971, 651, 408, 726

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


Find the LCM of 730, 971, 651, 408, 726 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 730, 971, 651, 408, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,971,651,408,726

Given numbers are 730,971,651,408,726

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

The LCM of 730,971,651,408,726 is 3796796859240.

Find LCM of 730,971,651,408,726 with Prime Factorization


2 730, 971, 651, 408, 726
3 365, 971, 651, 204, 363
365, 971, 217, 68, 121

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

2 x 3 x 365 x 971 x 217 x 68 x 121 = 3796796859240

Therefore, the lowest common multiple of 730,971,651,408,726 is 3796796859240.

LCM Formula to Find Lowest Common Multiple of 730,971,651,408,726

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.

730 x 971 x 651 x 408 x 726 = 136684686932640

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

971 : 1, 971

651 : 1, 3, 7, 21, 31, 93, 217, 651

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,971,651,408,726, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

971:971

651:3x 7x 31

408:2x 2x 2x 3x 17

726:2x 3x 11x 11

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 136684686932640/(1x36)

LCM = 136684686932640/36

LCM = 3796796859240

Thus, we can understand that the LCM of 730,971,651,408,726 is 3796796859240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 971, 651, 408, 726

1. What is the LCM of 730, 971, 651, 408, 726?

Answer: LCM of 730, 971, 651, 408, 726 is 3796796859240.

2. How to calculate the LCM of 730, 971, 651, 408, 726?

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 730, 971, 651, 408, 726.

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}.