Given numbers are 966,120,599,390,612

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

The LCM of 966,120,599,390,612 is 7672686840.

Find LCM of 966,120,599,390,612 with Prime Factorization

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

2 x 2 x 3 x 5 x 161 x 2 x 599 x 13 x 51 = 7672686840

Therefore, the lowest common multiple of 966,120,599,390,612 is 7672686840.

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.

966 x 120 x 599 x 390 x 612 = 16573003574400

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.

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

599 : 1, 599

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,120,599,390,612, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

120:2x 2x 2x 3x 5

599:599

390:2x 3x 5x 13

612:2x 2x 3x 3x 17

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 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 16573003574400/(1x2160)

LCM = 16573003574400/2160

LCM = 7672686840

Thus, we can understand that the LCM of 966,120,599,390,612 is 7672686840.

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

• LCM of 702, 136, 292, 781, 332
• LCM of 626, 690, 587, 939, 835
• LCM of 983, 785, 846, 770, 876
• LCM of 130, 378, 196, 576, 612
• LCM of 916, 425, 671, 198, 111

1. What is the LCM of 966, 120, 599, 390, 612?

Answer: LCM of 966, 120, 599, 390, 612 is 7672686840.

2. How to calculate the LCM of 966, 120, 599, 390, 612?

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 966, 120, 599, 390, 612.

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}.