Given numbers are 924,117,467,978,566

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

The LCM of 924,117,467,978,566 is 776296268748.

Find LCM of 924,117,467,978,566 with Prime Factorization

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

2 x 3 x 154 x 39 x 467 x 163 x 283 = 776296268748

Therefore, the lowest common multiple of 924,117,467,978,566 is 776296268748.

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.

924 x 117 x 467 x 978 x 566 = 27946665674928

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

117 : 1, 3, 9, 13, 39, 117

467 : 1, 467

978 : 1, 2, 3, 6, 163, 326, 489, 978

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,117,467,978,566, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

117:3x 3x 13

467:467

978:2x 3x 163

566:2x 283

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 3 = 36

Therefore, the value for common factors is 36.

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 = 27946665674928/(1x36)

LCM = 27946665674928/36

LCM = 776296268748

Thus, we can understand that the LCM of 924,117,467,978,566 is 776296268748.

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

• LCM of 196, 953, 374, 968, 718
• LCM of 803, 156, 976, 267, 945
• LCM of 488, 450, 483, 629, 238
• LCM of 870, 566, 667, 867, 172
• LCM of 702, 333, 979, 154, 737

1. What is the LCM of 924, 117, 467, 978, 566?

Answer: LCM of 924, 117, 467, 978, 566 is 776296268748.

2. How to calculate the LCM of 924, 117, 467, 978, 566?

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 924, 117, 467, 978, 566.

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}.