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LCM of 659, 501, 446, 268

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


Find the LCM of 659, 501, 446, 268 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 659, 501, 446, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 659,501,446,268

Given numbers are 659,501,446,268

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

The LCM of 659,501,446,268 is 19731622476.

Find LCM of 659,501,446,268 with Prime Factorization


2 659, 501, 446, 268
659, 501, 223, 134

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

2 x 659 x 501 x 223 x 134 = 19731622476

Therefore, the lowest common multiple of 659,501,446,268 is 19731622476.

LCM Formula to Find Lowest Common Multiple of 659,501,446,268

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.

659 x 501 x 446 x 268 = 39463244952

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.

659 : 1, 659

501 : 1, 3, 167, 501

446 : 1, 2, 223, 446

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,501,446,268, is 1.

Now, the common factors can be found like this.

659:659

501:3x 167

446:2x 223

268:2x 2x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 39463244952/(1x2)

LCM = 39463244952/2

LCM = 19731622476

Thus, we can understand that the LCM of 659,501,446,268 is 19731622476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 659, 501, 446, 268

1. What is the LCM of 659, 501, 446, 268?

Answer: LCM of 659, 501, 446, 268 is 19731622476.

2. How to calculate the LCM of 659, 501, 446, 268?

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 659, 501, 446, 268.

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}.