Given numbers are 564,116,870,750

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

The LCM of 564,116,870,750 is 2044500.

Find LCM of 564,116,870,750 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 47 x 1 x 1 x 25 = 2044500

Therefore, the lowest common multiple of 564,116,870,750 is 2044500.

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.

564 x 116 x 870 x 750 = 42689160000

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

116 : 1, 2, 4, 29, 58, 116

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,116,870,750, is 2.

Now, the common factors can be found like this.

564:2x 2x 3x 47

116:2x 2x 29

870:2x 3x 5x 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 3x 3x 5x 29 = 10440

Therefore, the value for common factors is 10440.

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 = 42689160000/(2x10440)

LCM = 42689160000/20880

LCM = 2044500

Thus, we can understand that the LCM of 564,116,870,750 is 2044500.

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

• LCM of 415, 302, 411, 754
• LCM of 132, 402, 980, 193
• LCM of 624, 359, 631, 425
• LCM of 427, 829, 313, 648
• LCM of 478, 817, 857, 594

1. What is the LCM of 564, 116, 870, 750?

Answer: LCM of 564, 116, 870, 750 is 2044500.

2. How to calculate the LCM of 564, 116, 870, 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 564, 116, 870, 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}.