Given numbers are 128,988,975,756

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

The LCM of 128,988,975,756 is 149385600.

Find LCM of 128,988,975,756 with Prime Factorization

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

2 x 2 x 3 x 13 x 32 x 19 x 25 x 63 = 149385600

Therefore, the lowest common multiple of 128,988,975,756 is 149385600.

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.

128 x 988 x 975 x 756 = 93216614400

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,988,975,756, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

988:2x 2x 13x 19

975:3x 5x 5x 13

756:2x 2x 3x 3x 3x 7

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 2x 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 93216614400/(1x624)

LCM = 93216614400/624

LCM = 149385600

Thus, we can understand that the LCM of 128,988,975,756 is 149385600.

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

• LCM of 718, 540, 199, 774
• LCM of 199, 841, 540, 620
• LCM of 968, 888, 404, 806
• LCM of 510, 940, 237, 332
• LCM of 466, 170, 773, 579

1. What is the LCM of 128, 988, 975, 756?

Answer: LCM of 128, 988, 975, 756 is 149385600.

2. How to calculate the LCM of 128, 988, 975, 756?

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 128, 988, 975, 756.

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}.