Given numbers are 145,763,392,851,966

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

The LCM of 145,763,392,851,966 is 15817264680.

Find LCM of 145,763,392,851,966 with Prime Factorization

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

2 x 7 x 23 x 145 x 109 x 28 x 37 x 3 = 15817264680

Therefore, the lowest common multiple of 145,763,392,851,966 is 15817264680.

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.

145 x 763 x 392 x 851 x 966 = 35652114588720

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.

145 : 1, 5, 29, 145

763 : 1, 7, 109, 763

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

851 : 1, 23, 37, 851

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,763,392,851,966, is 1.

Now, the common factors can be found like this.

145:5x 29

763:7x 109

392:2x 2x 2x 7x 7

851:23x 37

966:2x 3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 7x 23 = 2254

Therefore, the value for common factors is 2254.

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 = 35652114588720/(1x2254)

LCM = 35652114588720/2254

LCM = 15817264680

Thus, we can understand that the LCM of 145,763,392,851,966 is 15817264680.

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

• LCM of 772, 627, 836, 194, 171
• LCM of 566, 367, 415, 428, 187
• LCM of 834, 366, 960, 564, 339
• LCM of 718, 409, 645, 892, 632
• LCM of 473, 226, 407, 691, 628

1. What is the LCM of 145, 763, 392, 851, 966?

Answer: LCM of 145, 763, 392, 851, 966 is 15817264680.

2. How to calculate the LCM of 145, 763, 392, 851, 966?

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 145, 763, 392, 851, 966.

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}.