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LCM of 699, 501, 167, 406

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


Find the LCM of 699, 501, 167, 406 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 699, 501, 167, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 699,501,167,406

Given numbers are 699,501,167,406

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

The LCM of 699,501,167,406 is 47393598.

Find LCM of 699,501,167,406 with Prime Factorization


3 699, 501, 167, 406
167 233, 167, 167, 406
233, 1, 1, 406

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

3 x 167 x 233 x 1 x 1 x 406 = 47393598

Therefore, the lowest common multiple of 699,501,167,406 is 47393598.

LCM Formula to Find Lowest Common Multiple of 699,501,167,406

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.

699 x 501 x 167 x 406 = 23744192598

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.

699 : 1, 3, 233, 699

501 : 1, 3, 167, 501

167 : 1, 167

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,501,167,406, is 1.

Now, the common factors can be found like this.

699:3x 233

501:3x 167

167:167

406:2x 7x 29

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

3x 167 = 501

Therefore, the value for common factors is 501.

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 = 23744192598/(1x501)

LCM = 23744192598/501

LCM = 47393598

Thus, we can understand that the LCM of 699,501,167,406 is 47393598.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 699, 501, 167, 406

1. What is the LCM of 699, 501, 167, 406?

Answer: LCM of 699, 501, 167, 406 is 47393598.

2. How to calculate the LCM of 699, 501, 167, 406?

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 699, 501, 167, 406.

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}.