Given numbers are 468,720,894,701

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

The LCM of 468,720,894,701 is 977642640.

Find LCM of 468,720,894,701 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 20 x 149 x 701 = 977642640

Therefore, the lowest common multiple of 468,720,894,701 is 977642640.

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.

468 x 720 x 894 x 701 = 211170810240

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,720,894,701, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

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

894:2x 3x 149

701:701

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 211170810240/(1x216)

LCM = 211170810240/216

LCM = 977642640

Thus, we can understand that the LCM of 468,720,894,701 is 977642640.

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

• LCM of 574, 152, 162, 438
• LCM of 746, 197, 554, 209
• LCM of 244, 514, 470, 710
• LCM of 704, 132, 883, 959
• LCM of 458, 421, 384, 430

1. What is the LCM of 468, 720, 894, 701?

Answer: LCM of 468, 720, 894, 701 is 977642640.

2. How to calculate the LCM of 468, 720, 894, 701?

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 468, 720, 894, 701.

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}.