Given numbers are 767,238,578,408,985

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

The LCM of 767,238,578,408,985 is 36680793240.

Find LCM of 767,238,578,408,985 with Prime Factorization

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

2 x 17 x 767 x 7 x 17 x 12 x 985 = 36680793240

Therefore, the lowest common multiple of 767,238,578,408,985 is 36680793240.

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.

767 x 238 x 578 x 408 x 985 = 42402996985440

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.

767 : 1, 13, 59, 767

238 : 1, 2, 7, 14, 17, 34, 119, 238

578 : 1, 2, 17, 34, 289, 578

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,238,578,408,985, is 1.

Now, the common factors can be found like this.

767:13x 59

238:2x 7x 17

578:2x 17x 17

408:2x 2x 2x 3x 17

985:5x 197

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 42402996985440/(1x1156)

LCM = 42402996985440/1156

LCM = 36680793240

Thus, we can understand that the LCM of 767,238,578,408,985 is 36680793240.

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

• LCM of 804, 645, 489, 210, 267
• LCM of 552, 249, 444, 987, 500
• LCM of 828, 510, 606, 709, 662
• LCM of 356, 866, 793, 196, 962
• LCM of 800, 999, 439, 161, 300

1. What is the LCM of 767, 238, 578, 408, 985?

Answer: LCM of 767, 238, 578, 408, 985 is 36680793240.

2. How to calculate the LCM of 767, 238, 578, 408, 985?

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 767, 238, 578, 408, 985.

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}.