Given numbers are 420,607,952,644

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

The LCM of 420,607,952,644 is 199363080.

Find LCM of 420,607,952,644 with Prime Factorization

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

2 x 2 x 7 x 15 x 607 x 34 x 23 = 199363080

Therefore, the lowest common multiple of 420,607,952,644 is 199363080.

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 607 x 952 x 644 = 156300654720

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

607 : 1, 607

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,607,952,644, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

607:607

952:2x 2x 2x 7x 17

644:2x 2x 7x 23

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 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 156300654720/(1x784)

LCM = 156300654720/784

LCM = 199363080

Thus, we can understand that the LCM of 420,607,952,644 is 199363080.

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

• LCM of 604, 560, 121, 275
• LCM of 249, 651, 627, 313
• LCM of 412, 763, 604, 126
• LCM of 122, 581, 531, 765
• LCM of 753, 344, 856, 159

1. What is the LCM of 420, 607, 952, 644?

Answer: LCM of 420, 607, 952, 644 is 199363080.

2. How to calculate the LCM of 420, 607, 952, 644?

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, 607, 952, 644.

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}.