Given numbers are 427,808,910,749,420

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

The LCM of 427,808,910,749,420 is 7198758840.

Find LCM of 427,808,910,749,420 with Prime Factorization

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

2 x 2 x 5 x 7 x 61 x 202 x 13 x 107 x 3 = 7198758840

Therefore, the lowest common multiple of 427,808,910,749,420 is 7198758840.

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.

427 x 808 x 910 x 749 x 420 = 98766971284800

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.

427 : 1, 7, 61, 427

808 : 1, 2, 4, 8, 101, 202, 404, 808

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

749 : 1, 7, 107, 749

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 427,808,910,749,420, is 1.

Now, the common factors can be found like this.

427:7x 61

808:2x 2x 2x 101

910:2x 5x 7x 13

749:7x 107

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 2x 2x 5x 7x 7x 7 = 13720

Therefore, the value for common factors is 13720.

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 = 98766971284800/(1x13720)

LCM = 98766971284800/13720

LCM = 7198758840

Thus, we can understand that the LCM of 427,808,910,749,420 is 7198758840.

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

• LCM of 538, 745, 447, 343, 751
• LCM of 860, 822, 890, 760, 697
• LCM of 625, 667, 139, 216, 809
• LCM of 905, 393, 358, 523, 469
• LCM of 715, 758, 396, 216, 745

1. What is the LCM of 427, 808, 910, 749, 420?

Answer: LCM of 427, 808, 910, 749, 420 is 7198758840.

2. How to calculate the LCM of 427, 808, 910, 749, 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 427, 808, 910, 749, 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}.