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LCM of 420, 836, 260, 666, 802

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


Find the LCM of 420, 836, 260, 666, 802 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 420, 836, 260, 666, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,836,260,666,802

Given numbers are 420,836,260,666,802

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

The LCM of 420,836,260,666,802 is 50793282540.

Find LCM of 420,836,260,666,802 with Prime Factorization


2 420, 836, 260, 666, 802
2 210, 418, 130, 333, 401
3 105, 209, 65, 333, 401
5 35, 209, 65, 111, 401
7, 209, 13, 111, 401

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

2 x 2 x 3 x 5 x 7 x 209 x 13 x 111 x 401 = 50793282540

Therefore, the lowest common multiple of 420,836,260,666,802 is 50793282540.

LCM Formula to Find Lowest Common Multiple of 420,836,260,666,802

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.

420 x 836 x 260 x 666 x 802 = 48761551238400

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

802 : 1, 2, 401, 802

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,836,260,666,802, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

836:2x 2x 11x 19

260:2x 2x 5x 13

666:2x 3x 3x 37

802:2x 401

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 2x 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 48761551238400/(2x480)

LCM = 48761551238400/960

LCM = 50793282540

Thus, we can understand that the LCM of 420,836,260,666,802 is 50793282540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 836, 260, 666, 802

1. What is the LCM of 420, 836, 260, 666, 802?

Answer: LCM of 420, 836, 260, 666, 802 is 50793282540.

2. How to calculate the LCM of 420, 836, 260, 666, 802?

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 420, 836, 260, 666, 802.

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}.