Given numbers are 821,659,491,136,420

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

The LCM of 821,659,491,136,420 is 3793484127720.

Find LCM of 821,659,491,136,420 with Prime Factorization

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

2 x 2 x 821 x 659 x 491 x 34 x 105 = 3793484127720

Therefore, the lowest common multiple of 821,659,491,136,420 is 3793484127720.

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.

821 x 659 x 491 x 136 x 420 = 15173936510880

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.

821 : 1, 821

659 : 1, 659

491 : 1, 491

136 : 1, 2, 4, 8, 17, 34, 68, 136

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,659,491,136,420, is 1.

Now, the common factors can be found like this.

821:821

659:659

491:491

136:2x 2x 2x 17

420:2x 2x 3x 5x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15173936510880/(1x4)

LCM = 15173936510880/4

LCM = 3793484127720

Thus, we can understand that the LCM of 821,659,491,136,420 is 3793484127720.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 653, 642, 559, 372, 509
• LCM of 605, 452, 539, 427, 879
• LCM of 324, 319, 436, 904, 698
• LCM of 803, 354, 608, 140, 178
• LCM of 876, 955, 568, 295, 693

1. What is the LCM of 821, 659, 491, 136, 420?

Answer: LCM of 821, 659, 491, 136, 420 is 3793484127720.

2. How to calculate the LCM of 821, 659, 491, 136, 420?

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 821, 659, 491, 136, 420.

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}.