Given numbers are 588,639,348,966

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

The LCM of 588,639,348,966 is 83537748.

Find LCM of 588,639,348,966 with Prime Factorization

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

2 x 2 x 3 x 7 x 7 x 213 x 29 x 23 = 83537748

Therefore, the lowest common multiple of 588,639,348,966 is 83537748.

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.

588 x 639 x 348 x 966 = 126309074976

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

639 : 1, 3, 9, 71, 213, 639

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,639,348,966, is 3.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

639:3x 3x 71

348:2x 2x 3x 29

966:2x 3x 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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 126309074976/(3x504)

LCM = 126309074976/1512

LCM = 83537748

Thus, we can understand that the LCM of 588,639,348,966 is 83537748.

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

• LCM of 635, 592, 546, 687
• LCM of 575, 465, 678, 649
• LCM of 891, 390, 413, 101
• LCM of 961, 904, 255, 878
• LCM of 384, 581, 693, 594

1. What is the LCM of 588, 639, 348, 966?

Answer: LCM of 588, 639, 348, 966 is 83537748.

2. How to calculate the LCM of 588, 639, 348, 966?

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 588, 639, 348, 966.

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}.