Given numbers are 228,588,490,944,812

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

The LCM of 228,588,490,944,812 is 382305840.

Find LCM of 228,588,490,944,812 with Prime Factorization

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

2 x 2 x 3 x 7 x 7 x 19 x 1 x 5 x 236 x 29 = 382305840

Therefore, the lowest common multiple of 228,588,490,944,812 is 382305840.

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.

228 x 588 x 490 x 944 x 812 = 50354266798080

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,588,490,944,812, is 2.

Now, the common factors can be found like this.

228:2x 2x 3x 19

588:2x 2x 3x 7x 7

490:2x 5x 7x 7

944:2x 2x 2x 2x 59

812:2x 2x 7x 29

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 2x 2x 3x 7x 7x 7 = 65856

Therefore, the value for common factors is 65856.

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 = 50354266798080/(2x65856)

LCM = 50354266798080/131712

LCM = 382305840

Thus, we can understand that the LCM of 228,588,490,944,812 is 382305840.

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

• LCM of 378, 680, 518, 927, 785
• LCM of 362, 499, 669, 934, 512
• LCM of 151, 749, 732, 943, 580
• LCM of 502, 846, 415, 464, 880
• LCM of 910, 665, 862, 481, 581

1. What is the LCM of 228, 588, 490, 944, 812?

Answer: LCM of 228, 588, 490, 944, 812 is 382305840.

2. How to calculate the LCM of 228, 588, 490, 944, 812?

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 228, 588, 490, 944, 812.

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}.