Given numbers are 210,128,991,464

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

The LCM of 210,128,991,464 is 386252160.

Find LCM of 210,128,991,464 with Prime Factorization

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

2 x 2 x 2 x 2 x 105 x 8 x 991 x 29 = 386252160

Therefore, the lowest common multiple of 210,128,991,464 is 386252160.

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.

210 x 128 x 991 x 464 = 12360069120

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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

991 : 1, 991

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,128,991,464, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

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

991:991

464:2x 2x 2x 2x 29

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 2 = 32

Therefore, the value for common factors is 32.

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 = 12360069120/(1x32)

LCM = 12360069120/32

LCM = 386252160

Thus, we can understand that the LCM of 210,128,991,464 is 386252160.

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

• LCM of 689, 962, 718, 499
• LCM of 846, 996, 972, 384
• LCM of 981, 719, 132, 453
• LCM of 323, 850, 959, 987
• LCM of 249, 249, 693, 508

1. What is the LCM of 210, 128, 991, 464?

Answer: LCM of 210, 128, 991, 464 is 386252160.

2. How to calculate the LCM of 210, 128, 991, 464?

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 210, 128, 991, 464.

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}.