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LCM of 470, 539, 193, 715

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


Find the LCM of 470, 539, 193, 715 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 470, 539, 193, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,539,193,715

Given numbers are 470,539,193,715

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

The LCM of 470,539,193,715 is 635604970.

Find LCM of 470,539,193,715 with Prime Factorization


5 470, 539, 193, 715
11 94, 539, 193, 143
94, 49, 193, 13

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

5 x 11 x 94 x 49 x 193 x 13 = 635604970

Therefore, the lowest common multiple of 470,539,193,715 is 635604970.

LCM Formula to Find Lowest Common Multiple of 470,539,193,715

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.

470 x 539 x 193 x 715 = 34958273350

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

539 : 1, 7, 11, 49, 77, 539

193 : 1, 193

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,539,193,715, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

539:7x 7x 11

193:193

715:5x 11x 13

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 34958273350/(1x55)

LCM = 34958273350/55

LCM = 635604970

Thus, we can understand that the LCM of 470,539,193,715 is 635604970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 539, 193, 715

1. What is the LCM of 470, 539, 193, 715?

Answer: LCM of 470, 539, 193, 715 is 635604970.

2. How to calculate the LCM of 470, 539, 193, 715?

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 470, 539, 193, 715.

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}.