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LCM of 352, 606, 561, 308, 721

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


Find the LCM of 352, 606, 561, 308, 721 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 352, 606, 561, 308, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,606,561,308,721

Given numbers are 352,606,561,308,721

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

The LCM of 352,606,561,308,721 is 1307282592.

Find LCM of 352,606,561,308,721 with Prime Factorization


2 352, 606, 561, 308, 721
2 176, 303, 561, 154, 721
3 88, 303, 561, 77, 721
7 88, 101, 187, 77, 721
11 88, 101, 187, 11, 103
8, 101, 17, 1, 103

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

2 x 2 x 3 x 7 x 11 x 8 x 101 x 17 x 1 x 103 = 1307282592

Therefore, the lowest common multiple of 352,606,561,308,721 is 1307282592.

LCM Formula to Find Lowest Common Multiple of 352,606,561,308,721

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.

352 x 606 x 561 x 308 x 721 = 26574440530176

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

606 : 1, 2, 3, 6, 101, 202, 303, 606

561 : 1, 3, 11, 17, 33, 51, 187, 561

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,606,561,308,721, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

606:2x 3x 101

561:3x 11x 17

308:2x 2x 7x 11

721:7x 103

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 3x 7x 11x 11 = 20328

Therefore, the value for common factors is 20328.

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 = 26574440530176/(1x20328)

LCM = 26574440530176/20328

LCM = 1307282592

Thus, we can understand that the LCM of 352,606,561,308,721 is 1307282592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 606, 561, 308, 721

1. What is the LCM of 352, 606, 561, 308, 721?

Answer: LCM of 352, 606, 561, 308, 721 is 1307282592.

2. How to calculate the LCM of 352, 606, 561, 308, 721?

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 352, 606, 561, 308, 721.

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}.