Given numbers are 750,610,966,924

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

The LCM of 750,610,966,924 is 162046500.

Find LCM of 750,610,966,924 with Prime Factorization

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

2 x 3 x 5 x 7 x 25 x 61 x 23 x 22 = 162046500

Therefore, the lowest common multiple of 750,610,966,924 is 162046500.

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 610 x 966 x 924 = 408357180000

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,610,966,924, is 2.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

610:2x 5x 61

966:2x 3x 7x 23

924:2x 2x 3x 7x 11

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 5x 7 = 1260

Therefore, the value for common factors is 1260.

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 = 408357180000/(2x1260)

LCM = 408357180000/2520

LCM = 162046500

Thus, we can understand that the LCM of 750,610,966,924 is 162046500.

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

• LCM of 847, 957, 978, 993
• LCM of 493, 645, 981, 164
• LCM of 384, 907, 861, 996
• LCM of 311, 863, 810, 797
• LCM of 422, 405, 484, 197

1. What is the LCM of 750, 610, 966, 924?

Answer: LCM of 750, 610, 966, 924 is 162046500.

2. How to calculate the LCM of 750, 610, 966, 924?

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, 610, 966, 924.

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}.