Given numbers are 462,847,654,720

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

The LCM of 462,847,654,720 is 66472560.

Find LCM of 462,847,654,720 with Prime Factorization

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

2 x 3 x 7 x 11 x 1 x 11 x 109 x 120 = 66472560

Therefore, the lowest common multiple of 462,847,654,720 is 66472560.

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.

462 x 847 x 654 x 720 = 184261936320

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

847 : 1, 7, 11, 77, 121, 847

654 : 1, 2, 3, 6, 109, 218, 327, 654

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,847,654,720, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

847:7x 11x 11

654:2x 3x 109

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 7x 11 = 2772

Therefore, the value for common factors is 2772.

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 = 184261936320/(1x2772)

LCM = 184261936320/2772

LCM = 66472560

Thus, we can understand that the LCM of 462,847,654,720 is 66472560.

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

• LCM of 150, 329, 933, 672
• LCM of 969, 712, 620, 834
• LCM of 668, 325, 918, 476
• LCM of 988, 158, 320, 282
• LCM of 914, 292, 691, 688

1. What is the LCM of 462, 847, 654, 720?

Answer: LCM of 462, 847, 654, 720 is 66472560.

2. How to calculate the LCM of 462, 847, 654, 720?

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 462, 847, 654, 720.

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}.