Given numbers are 684,961,432,375

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

The LCM of 684,961,432,375 is 985986000.

Find LCM of 684,961,432,375 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 961 x 12 x 125 = 985986000

Therefore, the lowest common multiple of 684,961,432,375 is 985986000.

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.

684 x 961 x 432 x 375 = 106486488000

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

961 : 1, 31, 961

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,961,432,375, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

961:31x 31

432:2x 2x 2x 2x 3x 3x 3

375:3x 5x 5x 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 3 = 108

Therefore, the value for common factors is 108.

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 = 106486488000/(1x108)

LCM = 106486488000/108

LCM = 985986000

Thus, we can understand that the LCM of 684,961,432,375 is 985986000.

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

• LCM of 947, 390, 514, 443
• LCM of 376, 319, 546, 996
• LCM of 246, 701, 955, 899
• LCM of 101, 827, 252, 144
• LCM of 390, 201, 707, 417

1. What is the LCM of 684, 961, 432, 375?

Answer: LCM of 684, 961, 432, 375 is 985986000.

2. How to calculate the LCM of 684, 961, 432, 375?

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 684, 961, 432, 375.

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}.