Given numbers are 30,29,29,542

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

The LCM of 30,29,29,542 is 235770.

Find LCM of 30,29,29,542 with Prime Factorization

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

2 x 29 x 15 x 1 x 1 x 271 = 235770

Therefore, the lowest common multiple of 30,29,29,542 is 235770.

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.

30 x 29 x 29 x 542 = 13674660

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.

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

29 : 1, 29

29 : 1, 29

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 30,29,29,542, is 1.

Now, the common factors can be found like this.

30:2x 3x 5

29:29

29:29

542:2x 271

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 13674660/(1x58)

LCM = 13674660/58

LCM = 235770

Thus, we can understand that the LCM of 30,29,29,542 is 235770.

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

• LCM of 60, 83, 59, 711
• LCM of 12, 32, 59, 165
• LCM of 86, 76, 77, 535
• LCM of 96, 39, 35, 743
• LCM of 99, 28, 55, 524

1. What is the LCM of 30, 29, 29, 542?

Answer: LCM of 30, 29, 29, 542 is 235770.

2. How to calculate the LCM of 30, 29, 29, 542?

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 30, 29, 29, 542.

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}.