Given numbers are 406,424,988,275,821

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

The LCM of 406,424,988,275,821 is 4799927732600.

Find LCM of 406,424,988,275,821 with Prime Factorization

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

2 x 2 x 203 x 106 x 247 x 275 x 821 = 4799927732600

Therefore, the lowest common multiple of 406,424,988,275,821 is 4799927732600.

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.

406 x 424 x 988 x 275 x 821 = 38399421860800

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

424 : 1, 2, 4, 8, 53, 106, 212, 424

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

275 : 1, 5, 11, 25, 55, 275

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,424,988,275,821, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

424:2x 2x 2x 53

988:2x 2x 13x 19

275:5x 5x 11

821:821

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 2 = 8

Therefore, the value for common factors is 8.

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 = 38399421860800/(1x8)

LCM = 38399421860800/8

LCM = 4799927732600

Thus, we can understand that the LCM of 406,424,988,275,821 is 4799927732600.

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

• LCM of 804, 930, 896, 369, 876
• LCM of 701, 850, 140, 880, 581
• LCM of 592, 343, 854, 278, 654
• LCM of 279, 426, 557, 624, 674
• LCM of 997, 111, 414, 364, 104

1. What is the LCM of 406, 424, 988, 275, 821?

Answer: LCM of 406, 424, 988, 275, 821 is 4799927732600.

2. How to calculate the LCM of 406, 424, 988, 275, 821?

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 406, 424, 988, 275, 821.

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}.