Given numbers are 78,63,39,29,353

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

The LCM of 78,63,39,29,353 is 16768206.

Find LCM of 78,63,39,29,353 with Prime Factorization

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

3 x 13 x 2 x 21 x 1 x 29 x 353 = 16768206

Therefore, the lowest common multiple of 78,63,39,29,353 is 16768206.

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.

78 x 63 x 39 x 29 x 353 = 1961880102

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.

78 : 1, 2, 3, 6, 13, 26, 39, 78

63 : 1, 3, 7, 9, 21, 63

39 : 1, 3, 13, 39

29 : 1, 29

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,63,39,29,353, is 1.

Now, the common factors can be found like this.

78:2x 3x 13

63:3x 3x 7

39:3x 13

29:29

353:353

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 1961880102/(1x117)

LCM = 1961880102/117

LCM = 16768206

Thus, we can understand that the LCM of 78,63,39,29,353 is 16768206.

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

• LCM of 22, 28, 61, 98, 143
• LCM of 27, 81, 41, 60, 396
• LCM of 71, 31, 87, 67, 929
• LCM of 37, 57, 10, 84, 521
• LCM of 21, 14, 97, 15, 519

1. What is the LCM of 78, 63, 39, 29, 353?

Answer: LCM of 78, 63, 39, 29, 353 is 16768206.

2. How to calculate the LCM of 78, 63, 39, 29, 353?

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 78, 63, 39, 29, 353.

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}.