Given numbers are 750,993,684,105,430

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

The LCM of 750,993,684,105,430 is 8518450500.

Find LCM of 750,993,684,105,430 with Prime Factorization

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

2 x 3 x 5 x 25 x 331 x 114 x 7 x 43 = 8518450500

Therefore, the lowest common multiple of 750,993,684,105,430 is 8518450500.

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.

750 x 993 x 684 x 105 x 430 = 22999816350000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

993 : 1, 3, 331, 993

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

105 : 1, 3, 5, 7, 15, 21, 35, 105

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,993,684,105,430, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

993:3x 331

684:2x 2x 3x 3x 19

105:3x 5x 7

430:2x 5x 43

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 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 22999816350000/(1x2700)

LCM = 22999816350000/2700

LCM = 8518450500

Thus, we can understand that the LCM of 750,993,684,105,430 is 8518450500.

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

• LCM of 273, 470, 690, 695, 909
• LCM of 644, 442, 446, 287, 911
• LCM of 195, 624, 505, 921, 730
• LCM of 475, 959, 281, 910, 966
• LCM of 514, 509, 477, 256, 576

1. What is the LCM of 750, 993, 684, 105, 430?

Answer: LCM of 750, 993, 684, 105, 430 is 8518450500.

2. How to calculate the LCM of 750, 993, 684, 105, 430?

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 750, 993, 684, 105, 430.

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}.