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LCM of 929, 767, 408, 221

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


Find the LCM of 929, 767, 408, 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 929, 767, 408, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,767,408,221

Given numbers are 929,767,408,221

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

The LCM of 929,767,408,221 is 290717544.

Find LCM of 929,767,408,221 with Prime Factorization


13 929, 767, 408, 221
17 929, 59, 408, 17
929, 59, 24, 1

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

13 x 17 x 929 x 59 x 24 x 1 = 290717544

Therefore, the lowest common multiple of 929,767,408,221 is 290717544.

LCM Formula to Find Lowest Common Multiple of 929,767,408,221

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.

929 x 767 x 408 x 221 = 64248577224

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.

929 : 1, 929

767 : 1, 13, 59, 767

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,767,408,221, is 1.

Now, the common factors can be found like this.

929:929

767:13x 59

408:2x 2x 2x 3x 17

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.

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 64248577224/(1x221)

LCM = 64248577224/221

LCM = 290717544

Thus, we can understand that the LCM of 929,767,408,221 is 290717544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 767, 408, 221

1. What is the LCM of 929, 767, 408, 221?

Answer: LCM of 929, 767, 408, 221 is 290717544.

2. How to calculate the LCM of 929, 767, 408, 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 929, 767, 408, 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}.