Given numbers are 29,78,73,55,418

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

The LCM of 29,78,73,55,418 is 172556670.

Find LCM of 29,78,73,55,418 with Prime Factorization

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

2 x 11 x 29 x 39 x 73 x 5 x 19 = 172556670

Therefore, the lowest common multiple of 29,78,73,55,418 is 172556670.

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 78 x 73 x 55 x 418 = 3796246740

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

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

73 : 1, 73

55 : 1, 5, 11, 55

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 29,78,73,55,418, is 1.

Now, the common factors can be found like this.

29:29

78:2x 3x 13

73:73

55:5x 11

418:2x 11x 19

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 3796246740/(1x22)

LCM = 3796246740/22

LCM = 172556670

Thus, we can understand that the LCM of 29,78,73,55,418 is 172556670.

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

• LCM of 28, 60, 98, 21, 785
• LCM of 75, 20, 67, 81, 425
• LCM of 93, 87, 66, 13, 145
• LCM of 22, 58, 95, 32, 616
• LCM of 10, 32, 86, 62, 283

1. What is the LCM of 29, 78, 73, 55, 418?

Answer: LCM of 29, 78, 73, 55, 418 is 172556670.

2. How to calculate the LCM of 29, 78, 73, 55, 418?

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, 78, 73, 55, 418.

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}.