Given numbers are 25,44,29,76,914

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

The LCM of 25,44,29,76,914 is 276987700.

Find LCM of 25,44,29,76,914 with Prime Factorization

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

2 x 2 x 25 x 11 x 29 x 19 x 457 = 276987700

Therefore, the lowest common multiple of 25,44,29,76,914 is 276987700.

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.

25 x 44 x 29 x 76 x 914 = 2215901600

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.

25 : 1, 5, 25

44 : 1, 2, 4, 11, 22, 44

29 : 1, 29

76 : 1, 2, 4, 19, 38, 76

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 25,44,29,76,914, is 1.

Now, the common factors can be found like this.

25:5x 5

44:2x 2x 11

29:29

76:2x 2x 19

914:2x 457

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 = 2215901600/(1x8)

LCM = 2215901600/8

LCM = 276987700

Thus, we can understand that the LCM of 25,44,29,76,914 is 276987700.

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

• LCM of 24, 31, 34, 76, 821
• LCM of 55, 62, 16, 89, 405
• LCM of 74, 82, 69, 65, 177
• LCM of 18, 89, 77, 38, 347
• LCM of 55, 71, 93, 11, 164

1. What is the LCM of 25, 44, 29, 76, 914?

Answer: LCM of 25, 44, 29, 76, 914 is 276987700.

2. How to calculate the LCM of 25, 44, 29, 76, 914?

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 25, 44, 29, 76, 914.

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}.