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LCM of 652, 698, 767, 221

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


Find the LCM of 652, 698, 767, 221 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 652, 698, 767, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 652,698,767,221

Given numbers are 652,698,767,221

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

The LCM of 652,698,767,221 is 2966998372.

Find LCM of 652,698,767,221 with Prime Factorization


2 652, 698, 767, 221
13 326, 349, 767, 221
326, 349, 59, 17

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

2 x 13 x 326 x 349 x 59 x 17 = 2966998372

Therefore, the lowest common multiple of 652,698,767,221 is 2966998372.

LCM Formula to Find Lowest Common Multiple of 652,698,767,221

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.

652 x 698 x 767 x 221 = 77141957672

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.

652 : 1, 2, 4, 163, 326, 652

698 : 1, 2, 349, 698

767 : 1, 13, 59, 767

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,698,767,221, is 1.

Now, the common factors can be found like this.

652:2x 2x 163

698:2x 349

767:13x 59

221:13x 17

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 77141957672/(1x26)

LCM = 77141957672/26

LCM = 2966998372

Thus, we can understand that the LCM of 652,698,767,221 is 2966998372.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 652, 698, 767, 221

1. What is the LCM of 652, 698, 767, 221?

Answer: LCM of 652, 698, 767, 221 is 2966998372.

2. How to calculate the LCM of 652, 698, 767, 221?

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 652, 698, 767, 221.

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}.