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LCM of 667, 299, 441, 966

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


Find the LCM of 667, 299, 441, 966 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 667, 299, 441, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,299,441,966

Given numbers are 667,299,441,966

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

The LCM of 667,299,441,966 is 7647822.

Find LCM of 667,299,441,966 with Prime Factorization


3 667, 299, 441, 966
7 667, 299, 147, 322
23 667, 299, 21, 46
29, 13, 21, 2

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

3 x 7 x 23 x 29 x 13 x 21 x 2 = 7647822

Therefore, the lowest common multiple of 667,299,441,966 is 7647822.

LCM Formula to Find Lowest Common Multiple of 667,299,441,966

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.

667 x 299 x 441 x 966 = 84959654598

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.

667 : 1, 23, 29, 667

299 : 1, 13, 23, 299

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,299,441,966, is 1.

Now, the common factors can be found like this.

667:23x 29

299:13x 23

441:3x 3x 7x 7

966:2x 3x 7x 23

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

3x 7x 23x 23 = 11109

Therefore, the value for common factors is 11109.

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 = 84959654598/(1x11109)

LCM = 84959654598/11109

LCM = 7647822

Thus, we can understand that the LCM of 667,299,441,966 is 7647822.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 299, 441, 966

1. What is the LCM of 667, 299, 441, 966?

Answer: LCM of 667, 299, 441, 966 is 7647822.

2. How to calculate the LCM of 667, 299, 441, 966?

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 667, 299, 441, 966.

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}.