Given numbers are 741,969,624,822

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

The LCM of 741,969,624,822 is 27612624.

Find LCM of 741,969,624,822 with Prime Factorization

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

2 x 3 x 13 x 19 x 1 x 17 x 8 x 137 = 27612624

Therefore, the lowest common multiple of 741,969,624,822 is 27612624.

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.

741 x 969 x 624 x 822 = 368297178912

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

969 : 1, 3, 17, 19, 51, 57, 323, 969

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

822 : 1, 2, 3, 6, 137, 274, 411, 822

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,969,624,822, is 3.

Now, the common factors can be found like this.

741:3x 13x 19

969:3x 17x 19

624:2x 2x 2x 2x 3x 13

822:2x 3x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 13x 19 = 4446

Therefore, the value for common factors is 4446.

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 = 368297178912/(3x4446)

LCM = 368297178912/13338

LCM = 27612624

Thus, we can understand that the LCM of 741,969,624,822 is 27612624.

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

• LCM of 615, 222, 940, 673
• LCM of 311, 354, 848, 336
• LCM of 719, 793, 626, 709
• LCM of 793, 868, 419, 144
• LCM of 702, 403, 578, 148

1. What is the LCM of 741, 969, 624, 822?

Answer: LCM of 741, 969, 624, 822 is 27612624.

2. How to calculate the LCM of 741, 969, 624, 822?

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 741, 969, 624, 822.

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}.