Given numbers are 106,279,212,374,590

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

The LCM of 106,279,212,374,590 is 3262899420.

Find LCM of 106,279,212,374,590 with Prime Factorization

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

2 x 53 x 1 x 279 x 2 x 187 x 295 = 3262899420

Therefore, the lowest common multiple of 106,279,212,374,590 is 3262899420.

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.

106 x 279 x 212 x 374 x 590 = 1383469354080

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.

106 : 1, 2, 53, 106

279 : 1, 3, 9, 31, 93, 279

212 : 1, 2, 4, 53, 106, 212

374 : 1, 2, 11, 17, 22, 34, 187, 374

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,279,212,374,590, is 1.

Now, the common factors can be found like this.

106:2x 53

279:3x 3x 31

212:2x 2x 53

374:2x 11x 17

590:2x 5x 59

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 53 = 424

Therefore, the value for common factors is 424.

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 = 1383469354080/(1x424)

LCM = 1383469354080/424

LCM = 3262899420

Thus, we can understand that the LCM of 106,279,212,374,590 is 3262899420.

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

• LCM of 574, 607, 753, 506, 484
• LCM of 314, 821, 429, 263, 547
• LCM of 547, 540, 658, 357, 369
• LCM of 532, 972, 803, 492, 705
• LCM of 820, 831, 120, 543, 716

1. What is the LCM of 106, 279, 212, 374, 590?

Answer: LCM of 106, 279, 212, 374, 590 is 3262899420.

2. How to calculate the LCM of 106, 279, 212, 374, 590?

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 106, 279, 212, 374, 590.

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}.