Given numbers are 860,504,924,988

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

The LCM of 860,504,924,988 is 294414120.

Find LCM of 860,504,924,988 with Prime Factorization

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

2 x 2 x 3 x 7 x 215 x 6 x 11 x 247 = 294414120

Therefore, the lowest common multiple of 860,504,924,988 is 294414120.

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.

860 x 504 x 924 x 988 = 395692577280

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,504,924,988, is 4.

Now, the common factors can be found like this.

860:2x 2x 5x 43

504:2x 2x 2x 3x 3x 7

924:2x 2x 3x 7x 11

988:2x 2x 13x 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 2x 2x 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 395692577280/(4x336)

LCM = 395692577280/1344

LCM = 294414120

Thus, we can understand that the LCM of 860,504,924,988 is 294414120.

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

• LCM of 356, 971, 767, 155
• LCM of 994, 696, 786, 389
• LCM of 161, 385, 947, 855
• LCM of 755, 564, 826, 592
• LCM of 872, 488, 166, 109

1. What is the LCM of 860, 504, 924, 988?

Answer: LCM of 860, 504, 924, 988 is 294414120.

2. How to calculate the LCM of 860, 504, 924, 988?

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 860, 504, 924, 988.

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}.