Given numbers are 744,306,642,478,425

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

The LCM of 744,306,642,478,425 is 24258547800.

Find LCM of 744,306,642,478,425 with Prime Factorization

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

2 x 3 x 17 x 124 x 3 x 107 x 239 x 25 = 24258547800

Therefore, the lowest common multiple of 744,306,642,478,425 is 24258547800.

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.

744 x 306 x 642 x 478 x 425 = 29692462507200

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

478 : 1, 2, 239, 478

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,306,642,478,425, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

306:2x 3x 3x 17

642:2x 3x 107

478:2x 239

425:5x 5x 17

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 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 29692462507200/(1x1224)

LCM = 29692462507200/1224

LCM = 24258547800

Thus, we can understand that the LCM of 744,306,642,478,425 is 24258547800.

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

• LCM of 106, 866, 462, 400, 202
• LCM of 187, 323, 828, 919, 258
• LCM of 181, 374, 724, 659, 965
• LCM of 878, 591, 194, 609, 755
• LCM of 655, 833, 927, 285, 304

1. What is the LCM of 744, 306, 642, 478, 425?

Answer: LCM of 744, 306, 642, 478, 425 is 24258547800.

2. How to calculate the LCM of 744, 306, 642, 478, 425?

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 744, 306, 642, 478, 425.

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}.