Given numbers are 29,61,30,21,403

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

The LCM of 29,61,30,21,403 is 149710470.

Find LCM of 29,61,30,21,403 with Prime Factorization

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

3 x 29 x 61 x 10 x 7 x 403 = 149710470

Therefore, the lowest common multiple of 29,61,30,21,403 is 149710470.

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.

29 x 61 x 30 x 21 x 403 = 449131410

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.

29 : 1, 29

61 : 1, 61

30 : 1, 2, 3, 5, 6, 10, 15, 30

21 : 1, 3, 7, 21

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 29,61,30,21,403, is 1.

Now, the common factors can be found like this.

29:29

61:61

30:2x 3x 5

21:3x 7

403:13x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 449131410/(1x3)

LCM = 449131410/3

LCM = 149710470

Thus, we can understand that the LCM of 29,61,30,21,403 is 149710470.

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

• LCM of 97, 60, 99, 83, 370
• LCM of 13, 12, 48, 88, 725
• LCM of 45, 47, 32, 15, 537
• LCM of 34, 97, 72, 21, 329
• LCM of 80, 67, 28, 90, 544

1. What is the LCM of 29, 61, 30, 21, 403?

Answer: LCM of 29, 61, 30, 21, 403 is 149710470.

2. How to calculate the LCM of 29, 61, 30, 21, 403?

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 29, 61, 30, 21, 403.

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}.