Given numbers are 772,174,213,528,438

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

The LCM of 772,174,213,528,438 is 15316884528.

Find LCM of 772,174,213,528,438 with Prime Factorization

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

2 x 2 x 3 x 193 x 29 x 71 x 44 x 73 = 15316884528

Therefore, the lowest common multiple of 772,174,213,528,438 is 15316884528.

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.

772 x 174 x 213 x 528 x 438 = 6616894116096

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.

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

213 : 1, 3, 71, 213

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,174,213,528,438, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

174:2x 3x 29

213:3x 71

528:2x 2x 2x 2x 3x 11

438:2x 3x 73

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 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 6616894116096/(1x432)

LCM = 6616894116096/432

LCM = 15316884528

Thus, we can understand that the LCM of 772,174,213,528,438 is 15316884528.

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

• LCM of 769, 736, 985, 836, 833
• LCM of 556, 311, 829, 308, 503
• LCM of 469, 397, 240, 983, 494
• LCM of 895, 807, 788, 627, 930
• LCM of 868, 855, 467, 709, 203

1. What is the LCM of 772, 174, 213, 528, 438?

Answer: LCM of 772, 174, 213, 528, 438 is 15316884528.

2. How to calculate the LCM of 772, 174, 213, 528, 438?

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 772, 174, 213, 528, 438.

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}.