Given numbers are 638,951,144,676,812

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

The LCM of 638,951,144,676,812 is 17226505296.

Find LCM of 638,951,144,676,812 with Prime Factorization

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

2 x 2 x 3 x 29 x 11 x 317 x 12 x 169 x 7 = 17226505296

Therefore, the lowest common multiple of 638,951,144,676,812 is 17226505296.

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.

638 x 951 x 144 x 676 x 812 = 47958590744064

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

951 : 1, 3, 317, 951

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,951,144,676,812, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

951:3x 317

144:2x 2x 2x 2x 3x 3

676:2x 2x 13x 13

812:2x 2x 7x 29

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 3x 29 = 2784

Therefore, the value for common factors is 2784.

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 = 47958590744064/(1x2784)

LCM = 47958590744064/2784

LCM = 17226505296

Thus, we can understand that the LCM of 638,951,144,676,812 is 17226505296.

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

• LCM of 345, 728, 503, 182, 732
• LCM of 833, 392, 594, 437, 820
• LCM of 914, 290, 778, 545, 779
• LCM of 429, 968, 712, 360, 777
• LCM of 644, 959, 199, 784, 123

1. What is the LCM of 638, 951, 144, 676, 812?

Answer: LCM of 638, 951, 144, 676, 812 is 17226505296.

2. How to calculate the LCM of 638, 951, 144, 676, 812?

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 638, 951, 144, 676, 812.

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}.