Given numbers are 784,170,989

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

The LCM of 784,170,989 is 65906960.

Find LCM of 784,170,989 with Prime Factorization

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

2 x 392 x 85 x 989 = 65906960

Therefore, the lowest common multiple of 784,170,989 is 65906960.

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.

784 x 170 x 989 = 131813920

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

170 : 1, 2, 5, 10, 17, 34, 85, 170

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,170,989, is 1.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

170:2x 5x 17

989:23x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 131813920/(1x2)

LCM = 131813920/2

LCM = 65906960

Thus, we can understand that the LCM of 784,170,989 is 65906960.

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

• LCM of 475, 956, 861
• LCM of 821, 371, 559
• LCM of 103, 572, 308
• LCM of 861, 950, 181
• LCM of 773, 998, 667

1. What is the LCM of 784, 170, 989?

Answer: LCM of 784, 170, 989 is 65906960.

2. How to calculate the LCM of 784, 170, 989?

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 784, 170, 989.

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}.