Given numbers are 970,440,216,682,772

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

The LCM of 970,440,216,682,772 is 6894569880.

Find LCM of 970,440,216,682,772 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 97 x 1 x 27 x 31 x 193 = 6894569880

Therefore, the lowest common multiple of 970,440,216,682,772 is 6894569880.

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.

970 x 440 x 216 x 682 x 772 = 48537771955200

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

682 : 1, 2, 11, 22, 31, 62, 341, 682

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,440,216,682,772, is 2.

Now, the common factors can be found like this.

970:2x 5x 97

440:2x 2x 2x 5x 11

216:2x 2x 2x 3x 3x 3

682:2x 11x 31

772:2x 2x 193

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 2x 2x 5x 11 = 3520

Therefore, the value for common factors is 3520.

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 = 48537771955200/(2x3520)

LCM = 48537771955200/7040

LCM = 6894569880

Thus, we can understand that the LCM of 970,440,216,682,772 is 6894569880.

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

• LCM of 731, 983, 473, 405, 119
• LCM of 660, 110, 151, 549, 910
• LCM of 936, 330, 513, 149, 907
• LCM of 654, 383, 751, 836, 426
• LCM of 895, 968, 408, 916, 311

1. What is the LCM of 970, 440, 216, 682, 772?

Answer: LCM of 970, 440, 216, 682, 772 is 6894569880.

2. How to calculate the LCM of 970, 440, 216, 682, 772?

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 970, 440, 216, 682, 772.

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}.