Given numbers are 762,489,987,314,912

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

The LCM of 762,489,987,314,912 is 975173102736.

Find LCM of 762,489,987,314,912 with Prime Factorization

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

2 x 3 x 127 x 163 x 329 x 157 x 152 = 975173102736

Therefore, the lowest common multiple of 762,489,987,314,912 is 975173102736.

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.

762 x 489 x 987 x 314 x 912 = 105318695095488

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

489 : 1, 3, 163, 489

987 : 1, 3, 7, 21, 47, 141, 329, 987

314 : 1, 2, 157, 314

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,489,987,314,912, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

489:3x 163

987:3x 7x 47

314:2x 157

912:2x 2x 2x 2x 3x 19

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 3 = 108

Therefore, the value for common factors is 108.

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 = 105318695095488/(1x108)

LCM = 105318695095488/108

LCM = 975173102736

Thus, we can understand that the LCM of 762,489,987,314,912 is 975173102736.

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

• LCM of 318, 951, 549, 501, 413
• LCM of 474, 299, 925, 812, 980
• LCM of 188, 126, 538, 704, 927
• LCM of 172, 115, 665, 916, 825
• LCM of 390, 554, 668, 417, 331

1. What is the LCM of 762, 489, 987, 314, 912?

Answer: LCM of 762, 489, 987, 314, 912 is 975173102736.

2. How to calculate the LCM of 762, 489, 987, 314, 912?

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 762, 489, 987, 314, 912.

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}.