Given numbers are 504,209,228,774,977

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

The LCM of 504,209,228,774,977 is 4425270696.

Find LCM of 504,209,228,774,977 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 14 x 11 x 1 x 43 x 977 = 4425270696

Therefore, the lowest common multiple of 504,209,228,774,977 is 4425270696.

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.

504 x 209 x 228 x 774 x 977 = 18161310936384

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.

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

209 : 1, 11, 19, 209

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,209,228,774,977, is 1.

Now, the common factors can be found like this.

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

209:11x 19

228:2x 2x 3x 19

774:2x 3x 3x 43

977:977

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 3x 3x 3x 19 = 4104

Therefore, the value for common factors is 4104.

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 = 18161310936384/(1x4104)

LCM = 18161310936384/4104

LCM = 4425270696

Thus, we can understand that the LCM of 504,209,228,774,977 is 4425270696.

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

• LCM of 981, 595, 511, 590, 263
• LCM of 817, 119, 133, 224, 456
• LCM of 436, 720, 188, 645, 324
• LCM of 344, 437, 157, 847, 256
• LCM of 662, 779, 807, 570, 631

1. What is the LCM of 504, 209, 228, 774, 977?

Answer: LCM of 504, 209, 228, 774, 977 is 4425270696.

2. How to calculate the LCM of 504, 209, 228, 774, 977?

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 504, 209, 228, 774, 977.

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}.