Given numbers are 868,509,930,696,750

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

The LCM of 868,509,930,696,750 is 9609411000.

Find LCM of 868,509,930,696,750 with Prime Factorization

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

2 x 2 x 3 x 5 x 31 x 7 x 509 x 1 x 58 x 25 = 9609411000

Therefore, the lowest common multiple of 868,509,930,696,750 is 9609411000.

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.

868 x 509 x 930 x 696 x 750 = 214482053520000

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

509 : 1, 509

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,509,930,696,750, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

509:509

930:2x 3x 5x 31

696:2x 2x 2x 3x 29

750:2x 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 2x 2x 3x 3x 5x 31 = 22320

Therefore, the value for common factors is 22320.

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 = 214482053520000/(1x22320)

LCM = 214482053520000/22320

LCM = 9609411000

Thus, we can understand that the LCM of 868,509,930,696,750 is 9609411000.

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

• LCM of 808, 751, 542, 988, 476
• LCM of 574, 208, 616, 883, 616
• LCM of 931, 589, 685, 285, 416
• LCM of 407, 401, 426, 397, 838
• LCM of 804, 991, 375, 761, 622

1. What is the LCM of 868, 509, 930, 696, 750?

Answer: LCM of 868, 509, 930, 696, 750 is 9609411000.

2. How to calculate the LCM of 868, 509, 930, 696, 750?

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 868, 509, 930, 696, 750.

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}.