Given numbers are 624,760,717,703,642

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

The LCM of 624,760,717,703,642 is 56090795280.

Find LCM of 624,760,717,703,642 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 26 x 5 x 239 x 37 x 107 = 56090795280

Therefore, the lowest common multiple of 624,760,717,703,642 is 56090795280.

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 760 x 717 x 703 x 642 = 153464415886080

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

717 : 1, 3, 239, 717

703 : 1, 19, 37, 703

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,760,717,703,642, is 1.

Now, the common factors can be found like this.

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

760:2x 2x 2x 5x 19

717:3x 239

703:19x 37

642:2x 3x 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 3x 3x 19 = 2736

Therefore, the value for common factors is 2736.

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 = 153464415886080/(1x2736)

LCM = 153464415886080/2736

LCM = 56090795280

Thus, we can understand that the LCM of 624,760,717,703,642 is 56090795280.

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

• LCM of 754, 658, 504, 100, 291
• LCM of 229, 617, 871, 380, 921
• LCM of 412, 968, 660, 589, 763
• LCM of 410, 802, 365, 320, 882
• LCM of 538, 936, 168, 970, 142

1. What is the LCM of 624, 760, 717, 703, 642?

Answer: LCM of 624, 760, 717, 703, 642 is 56090795280.

2. How to calculate the LCM of 624, 760, 717, 703, 642?

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, 760, 717, 703, 642.

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}.