Given numbers are 930,552,158,795,756

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

The LCM of 930,552,158,795,756 is 22569102360.

Find LCM of 930,552,158,795,756 with Prime Factorization

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

2 x 2 x 3 x 5 x 31 x 46 x 79 x 53 x 63 = 22569102360

Therefore, the lowest common multiple of 930,552,158,795,756 is 22569102360.

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.

930 x 552 x 158 x 795 x 756 = 48749261097600

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.

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

158 : 1, 2, 79, 158

795 : 1, 3, 5, 15, 53, 159, 265, 795

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,552,158,795,756, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

552:2x 2x 2x 3x 23

158:2x 79

795:3x 5x 53

756:2x 2x 3x 3x 3x 7

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 = 48749261097600/(1x2160)

LCM = 48749261097600/2160

LCM = 22569102360

Thus, we can understand that the LCM of 930,552,158,795,756 is 22569102360.

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

• LCM of 862, 573, 528, 978, 538
• LCM of 406, 325, 778, 978, 392
• LCM of 641, 810, 534, 677, 666
• LCM of 954, 223, 852, 315, 339
• LCM of 140, 139, 379, 549, 794

1. What is the LCM of 930, 552, 158, 795, 756?

Answer: LCM of 930, 552, 158, 795, 756 is 22569102360.

2. How to calculate the LCM of 930, 552, 158, 795, 756?

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 930, 552, 158, 795, 756.

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}.