Given numbers are 624,494,416,138

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

The LCM of 624,494,416,138 is 545376.

Find LCM of 624,494,416,138 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 1 x 19 x 2 x 23 = 545376

Therefore, the lowest common multiple of 624,494,416,138 is 545376.

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.

624 x 494 x 416 x 138 = 17696360448

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.

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,494,416,138, is 2.

Now, the common factors can be found like this.

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

494:2x 13x 19

416:2x 2x 2x 2x 2x 13

138:2x 3x 23

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 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 17696360448/(2x16224)

LCM = 17696360448/32448

LCM = 545376

Thus, we can understand that the LCM of 624,494,416,138 is 545376.

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

• LCM of 223, 821, 765, 889
• LCM of 932, 153, 446, 528
• LCM of 717, 608, 187, 744
• LCM of 123, 984, 749, 754
• LCM of 968, 471, 162, 745

1. What is the LCM of 624, 494, 416, 138?

Answer: LCM of 624, 494, 416, 138 is 545376.

2. How to calculate the LCM of 624, 494, 416, 138?

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 624, 494, 416, 138.

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}.