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LCM of 413, 757, 935, 695

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


Find the LCM of 413, 757, 935, 695 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 413, 757, 935, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,757,935,695

Given numbers are 413,757,935,695

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

The LCM of 413,757,935,695 is 40632387565.

Find LCM of 413,757,935,695 with Prime Factorization


5 413, 757, 935, 695
413, 757, 187, 139

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

5 x 413 x 757 x 187 x 139 = 40632387565

Therefore, the lowest common multiple of 413,757,935,695 is 40632387565.

LCM Formula to Find Lowest Common Multiple of 413,757,935,695

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.

413 x 757 x 935 x 695 = 203161937825

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.

413 : 1, 7, 59, 413

757 : 1, 757

935 : 1, 5, 11, 17, 55, 85, 187, 935

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,757,935,695, is 1.

Now, the common factors can be found like this.

413:7x 59

757:757

935:5x 11x 17

695:5x 139

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

5 = 5

Therefore, the value for common factors is 5.

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 = 203161937825/(1x5)

LCM = 203161937825/5

LCM = 40632387565

Thus, we can understand that the LCM of 413,757,935,695 is 40632387565.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 757, 935, 695

1. What is the LCM of 413, 757, 935, 695?

Answer: LCM of 413, 757, 935, 695 is 40632387565.

2. How to calculate the LCM of 413, 757, 935, 695?

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 413, 757, 935, 695.

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}.