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LCM of 353, 706, 791, 706, 730

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


Find the LCM of 353, 706, 791, 706, 730 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 353, 706, 791, 706, 730. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 353,706,791,706,730

Given numbers are 353,706,791,706,730

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

The LCM of 353,706,791,706,730 is 203832790.

Find LCM of 353,706,791,706,730 with Prime Factorization


2 353, 706, 791, 706, 730
353 353, 353, 791, 353, 365
1, 1, 791, 1, 365

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

2 x 353 x 1 x 1 x 791 x 1 x 365 = 203832790

Therefore, the lowest common multiple of 353,706,791,706,730 is 203832790.

LCM Formula to Find Lowest Common Multiple of 353,706,791,706,730

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.

353 x 706 x 791 x 706 x 730 = 101597600516440

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.

353 : 1, 353

706 : 1, 2, 353, 706

791 : 1, 7, 113, 791

706 : 1, 2, 353, 706

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,706,791,706,730, is 1.

Now, the common factors can be found like this.

353:353

706:2x 353

791:7x 113

706:2x 353

730:2x 5x 73

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 353x 353 = 498436

Therefore, the value for common factors is 498436.

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 = 101597600516440/(1x498436)

LCM = 101597600516440/498436

LCM = 203832790

Thus, we can understand that the LCM of 353,706,791,706,730 is 203832790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 353, 706, 791, 706, 730

1. What is the LCM of 353, 706, 791, 706, 730?

Answer: LCM of 353, 706, 791, 706, 730 is 203832790.

2. How to calculate the LCM of 353, 706, 791, 706, 730?

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 353, 706, 791, 706, 730.

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}.