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LCM of 221, 985, 646, 152, 715

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


Find the LCM of 221, 985, 646, 152, 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 221, 985, 646, 152, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,985,646,152,715

Given numbers are 221,985,646,152,715

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

The LCM of 221,985,646,152,715 is 363969320.

Find LCM of 221,985,646,152,715 with Prime Factorization


2 221, 985, 646, 152, 715
5 221, 985, 323, 76, 715
13 221, 197, 323, 76, 143
17 17, 197, 323, 76, 11
19 1, 197, 19, 76, 11
1, 197, 1, 4, 11

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

2 x 5 x 13 x 17 x 19 x 1 x 197 x 1 x 4 x 11 = 363969320

Therefore, the lowest common multiple of 221,985,646,152,715 is 363969320.

LCM Formula to Find Lowest Common Multiple of 221,985,646,152,715

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.

221 x 985 x 646 x 152 x 715 = 15283071746800

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.

221 : 1, 13, 17, 221

985 : 1, 5, 197, 985

646 : 1, 2, 17, 19, 34, 38, 323, 646

152 : 1, 2, 4, 8, 19, 38, 76, 152

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 221,985,646,152,715, is 1.

Now, the common factors can be found like this.

221:13x 17

985:5x 197

646:2x 17x 19

152:2x 2x 2x 19

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.

2x 5x 13x 17x 19 = 41990

Therefore, the value for common factors is 41990.

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 = 15283071746800/(1x41990)

LCM = 15283071746800/41990

LCM = 363969320

Thus, we can understand that the LCM of 221,985,646,152,715 is 363969320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 985, 646, 152, 715

1. What is the LCM of 221, 985, 646, 152, 715?

Answer: LCM of 221, 985, 646, 152, 715 is 363969320.

2. How to calculate the LCM of 221, 985, 646, 152, 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 221, 985, 646, 152, 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}.