Given numbers are 96,46,69,987

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

The LCM of 96,46,69,987 is 726432.

Find LCM of 96,46,69,987 with Prime Factorization

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

2 x 3 x 23 x 16 x 1 x 1 x 329 = 726432

Therefore, the lowest common multiple of 96,46,69,987 is 726432.

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.

96 x 46 x 69 x 987 = 300742848

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.

96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

46 : 1, 2, 23, 46

69 : 1, 3, 23, 69

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 96,46,69,987, is 1.

Now, the common factors can be found like this.

96:2x 2x 2x 2x 2x 3

46:2x 23

69:3x 23

987:3x 7x 47

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

2x 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 300742848/(1x414)

LCM = 300742848/414

LCM = 726432

Thus, we can understand that the LCM of 96,46,69,987 is 726432.

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

• LCM of 81, 61, 31, 917
• LCM of 57, 72, 38, 851
• LCM of 58, 74, 22, 351
• LCM of 12, 82, 86, 820
• LCM of 60, 10, 36, 782

1. What is the LCM of 96, 46, 69, 987?

Answer: LCM of 96, 46, 69, 987 is 726432.

2. How to calculate the LCM of 96, 46, 69, 987?

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 96, 46, 69, 987.

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}.