Given numbers are 492,214,902,803,338

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

The LCM of 492,214,902,803,338 is 7144159308.

Find LCM of 492,214,902,803,338 with Prime Factorization

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

2 x 11 x 41 x 6 x 107 x 1 x 73 x 169 = 7144159308

Therefore, the lowest common multiple of 492,214,902,803,338 is 7144159308.

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.

492 x 214 x 902 x 803 x 338 = 25776126783264

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

214 : 1, 2, 107, 214

902 : 1, 2, 11, 22, 41, 82, 451, 902

803 : 1, 11, 73, 803

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,214,902,803,338, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

214:2x 107

902:2x 11x 41

803:11x 73

338:2x 13x 13

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 11x 41 = 3608

Therefore, the value for common factors is 3608.

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 = 25776126783264/(1x3608)

LCM = 25776126783264/3608

LCM = 7144159308

Thus, we can understand that the LCM of 492,214,902,803,338 is 7144159308.

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

• LCM of 460, 156, 350, 650, 426
• LCM of 186, 303, 112, 663, 601
• LCM of 120, 165, 429, 484, 227
• LCM of 764, 932, 415, 878, 267
• LCM of 965, 809, 364, 124, 599

1. What is the LCM of 492, 214, 902, 803, 338?

Answer: LCM of 492, 214, 902, 803, 338 is 7144159308.

2. How to calculate the LCM of 492, 214, 902, 803, 338?

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 492, 214, 902, 803, 338.

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}.