Given numbers are 741,624,478,789

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

The LCM of 741,624,478,789 is 745232592.

Find LCM of 741,624,478,789 with Prime Factorization

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

2 x 3 x 13 x 19 x 8 x 239 x 263 = 745232592

Therefore, the lowest common multiple of 741,624,478,789 is 745232592.

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 624 x 478 x 789 = 174384426528

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

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

478 : 1, 2, 239, 478

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,624,478,789, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

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

478:2x 239

789:3x 263

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 13 = 234

Therefore, the value for common factors is 234.

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 = 174384426528/(1x234)

LCM = 174384426528/234

LCM = 745232592

Thus, we can understand that the LCM of 741,624,478,789 is 745232592.

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

• LCM of 346, 842, 249, 768
• LCM of 576, 887, 931, 400
• LCM of 437, 537, 376, 265
• LCM of 965, 522, 804, 449
• LCM of 885, 156, 275, 878

1. What is the LCM of 741, 624, 478, 789?

Answer: LCM of 741, 624, 478, 789 is 745232592.

2. How to calculate the LCM of 741, 624, 478, 789?

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, 624, 478, 789.

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}.