Given numbers are 30,76,916

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

The LCM of 30,76,916 is 261060.

Find LCM of 30,76,916 with Prime Factorization

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

2 x 2 x 15 x 19 x 229 = 261060

Therefore, the lowest common multiple of 30,76,916 is 261060.

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 76 x 916 = 2088480

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

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

916 : 1, 2, 4, 229, 458, 916

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 30,76,916, is 2.

Now, the common factors can be found like this.

30:2x 3x 5

76:2x 2x 19

916:2x 2x 229

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2088480/(2x4)

LCM = 2088480/8

LCM = 261060

Thus, we can understand that the LCM of 30,76,916 is 261060.

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

• LCM of 80, 97, 970
• LCM of 28, 84, 407
• LCM of 88, 32, 692
• LCM of 48, 19, 805
• LCM of 40, 28, 541

1. What is the LCM of 30, 76, 916?

Answer: LCM of 30, 76, 916 is 261060.

2. How to calculate the LCM of 30, 76, 916?

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, 76, 916.

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}.