Given numbers are 700,512,989,135,297

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

The LCM of 700,512,989,135,297 is 26318476800.

Find LCM of 700,512,989,135,297 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 5 x 35 x 128 x 989 x 1 x 11 = 26318476800

Therefore, the lowest common multiple of 700,512,989,135,297 is 26318476800.

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.

700 x 512 x 989 x 135 x 297 = 14211977472000

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

989 : 1, 23, 43, 989

135 : 1, 3, 5, 9, 15, 27, 45, 135

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,512,989,135,297, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

512:2x 2x 2x 2x 2x 2x 2x 2x 2

989:23x 43

135:3x 3x 3x 5

297:3x 3x 3x 11

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 14211977472000/(1x540)

LCM = 14211977472000/540

LCM = 26318476800

Thus, we can understand that the LCM of 700,512,989,135,297 is 26318476800.

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

• LCM of 785, 997, 335, 689, 394
• LCM of 178, 665, 322, 449, 418
• LCM of 688, 642, 756, 695, 144
• LCM of 664, 122, 388, 394, 151
• LCM of 603, 827, 339, 625, 288

1. What is the LCM of 700, 512, 989, 135, 297?

Answer: LCM of 700, 512, 989, 135, 297 is 26318476800.

2. How to calculate the LCM of 700, 512, 989, 135, 297?

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 700, 512, 989, 135, 297.

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}.