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LCM of 717, 473, 455, 949, 536

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


Find the LCM of 717, 473, 455, 949, 536 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 717, 473, 455, 949, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,473,455,949,536

Given numbers are 717,473,455,949,536

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

The LCM of 717,473,455,949,536 is 6037808616840.

Find LCM of 717,473,455,949,536 with Prime Factorization


13 717, 473, 455, 949, 536
717, 473, 35, 73, 536

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

13 x 717 x 473 x 35 x 73 x 536 = 6037808616840

Therefore, the lowest common multiple of 717,473,455,949,536 is 6037808616840.

LCM Formula to Find Lowest Common Multiple of 717,473,455,949,536

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.

717 x 473 x 455 x 949 x 536 = 78491512018920

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.

717 : 1, 3, 239, 717

473 : 1, 11, 43, 473

455 : 1, 5, 7, 13, 35, 65, 91, 455

949 : 1, 13, 73, 949

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,473,455,949,536, is 1.

Now, the common factors can be found like this.

717:3x 239

473:11x 43

455:5x 7x 13

949:13x 73

536:2x 2x 2x 67

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

13 = 13

Therefore, the value for common factors is 13.

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 = 78491512018920/(1x13)

LCM = 78491512018920/13

LCM = 6037808616840

Thus, we can understand that the LCM of 717,473,455,949,536 is 6037808616840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 473, 455, 949, 536

1. What is the LCM of 717, 473, 455, 949, 536?

Answer: LCM of 717, 473, 455, 949, 536 is 6037808616840.

2. How to calculate the LCM of 717, 473, 455, 949, 536?

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 717, 473, 455, 949, 536.

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}.