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LCM of 662, 202, 404, 950, 506

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


Find the LCM of 662, 202, 404, 950, 506 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 662, 202, 404, 950, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,202,404,950,506

Given numbers are 662,202,404,950,506

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

The LCM of 662,202,404,950,506 is 16070281700.

Find LCM of 662,202,404,950,506 with Prime Factorization


2 662, 202, 404, 950, 506
101 331, 101, 202, 475, 253
331, 1, 2, 475, 253

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

2 x 101 x 331 x 1 x 2 x 475 x 253 = 16070281700

Therefore, the lowest common multiple of 662,202,404,950,506 is 16070281700.

LCM Formula to Find Lowest Common Multiple of 662,202,404,950,506

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.

662 x 202 x 404 x 950 x 506 = 25969575227200

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.

662 : 1, 2, 331, 662

202 : 1, 2, 101, 202

404 : 1, 2, 4, 101, 202, 404

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,202,404,950,506, is 2.

Now, the common factors can be found like this.

662:2x 331

202:2x 101

404:2x 2x 101

950:2x 5x 5x 19

506:2x 11x 23

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

2x 2x 2x 101 = 808

Therefore, the value for common factors is 808.

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 = 25969575227200/(2x808)

LCM = 25969575227200/1616

LCM = 16070281700

Thus, we can understand that the LCM of 662,202,404,950,506 is 16070281700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 202, 404, 950, 506

1. What is the LCM of 662, 202, 404, 950, 506?

Answer: LCM of 662, 202, 404, 950, 506 is 16070281700.

2. How to calculate the LCM of 662, 202, 404, 950, 506?

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 662, 202, 404, 950, 506.

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}.