Given numbers are 420,606,214,778

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

The LCM of 420,606,214,778 is 1765647660.

Find LCM of 420,606,214,778 with Prime Factorization

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

2 x 3 x 70 x 101 x 107 x 389 = 1765647660

Therefore, the lowest common multiple of 420,606,214,778 is 1765647660.

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 606 x 214 x 778 = 42375543840

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

606 : 1, 2, 3, 6, 101, 202, 303, 606

214 : 1, 2, 107, 214

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,606,214,778, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

606:2x 3x 101

214:2x 107

778:2x 389

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 3 = 12

Therefore, the value for common factors is 12.

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 = 42375543840/(2x12)

LCM = 42375543840/24

LCM = 1765647660

Thus, we can understand that the LCM of 420,606,214,778 is 1765647660.

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

• LCM of 246, 290, 183, 812
• LCM of 794, 746, 882, 534
• LCM of 682, 152, 498, 765
• LCM of 506, 236, 152, 133
• LCM of 545, 888, 864, 978

1. What is the LCM of 420, 606, 214, 778?

Answer: LCM of 420, 606, 214, 778 is 1765647660.

2. How to calculate the LCM of 420, 606, 214, 778?

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, 606, 214, 778.

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}.