Given numbers are 252,120,753,831,846

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

The LCM of 252,120,753,831,846 is 8234777880.

Find LCM of 252,120,753,831,846 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 10 x 251 x 277 x 47 = 8234777880

Therefore, the lowest common multiple of 252,120,753,831,846 is 8234777880.

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.

252 x 120 x 753 x 831 x 846 = 16008408198720

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

753 : 1, 3, 251, 753

831 : 1, 3, 277, 831

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,120,753,831,846, is 3.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

120:2x 2x 2x 3x 5

753:3x 251

831:3x 277

846:2x 3x 3x 47

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 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 16008408198720/(3x648)

LCM = 16008408198720/1944

LCM = 8234777880

Thus, we can understand that the LCM of 252,120,753,831,846 is 8234777880.

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

• LCM of 586, 997, 732, 871, 592
• LCM of 788, 719, 876, 907, 171
• LCM of 573, 872, 824, 816, 651
• LCM of 675, 178, 497, 146, 606
• LCM of 300, 248, 674, 480, 633

1. What is the LCM of 252, 120, 753, 831, 846?

Answer: LCM of 252, 120, 753, 831, 846 is 8234777880.

2. How to calculate the LCM of 252, 120, 753, 831, 846?

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 252, 120, 753, 831, 846.

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}.