Given numbers are 504,836,289,266,428

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

The LCM of 504,836,289,266,428 is 3257305128.

Find LCM of 504,836,289,266,428 with Prime Factorization

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

2 x 2 x 7 x 19 x 18 x 11 x 289 x 1 x 107 = 3257305128

Therefore, the lowest common multiple of 504,836,289,266,428 is 3257305128.

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 836 x 289 x 266 x 428 = 13863090624768

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

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

289 : 1, 17, 289

266 : 1, 2, 7, 14, 19, 38, 133, 266

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,836,289,266,428, is 1.

Now, the common factors can be found like this.

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

836:2x 2x 11x 19

289:17x 17

266:2x 7x 19

428:2x 2x 107

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 2x 7x 19 = 4256

Therefore, the value for common factors is 4256.

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 = 13863090624768/(1x4256)

LCM = 13863090624768/4256

LCM = 3257305128

Thus, we can understand that the LCM of 504,836,289,266,428 is 3257305128.

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

• LCM of 583, 712, 359, 783, 231
• LCM of 900, 282, 791, 162, 989
• LCM of 327, 805, 143, 126, 269
• LCM of 153, 919, 313, 318, 745
• LCM of 959, 953, 908, 811, 645

1. What is the LCM of 504, 836, 289, 266, 428?

Answer: LCM of 504, 836, 289, 266, 428 is 3257305128.

2. How to calculate the LCM of 504, 836, 289, 266, 428?

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, 836, 289, 266, 428.

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}.