Given numbers are 744,726,489,107,540

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

The LCM of 744,726,489,107,540 is 70654886280.

Find LCM of 744,726,489,107,540 with Prime Factorization

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

2 x 2 x 3 x 62 x 121 x 163 x 107 x 45 = 70654886280

Therefore, the lowest common multiple of 744,726,489,107,540 is 70654886280.

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 726 x 489 x 107 x 540 = 15261455436480

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

489 : 1, 3, 163, 489

107 : 1, 107

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,726,489,107,540, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

726:2x 3x 11x 11

489:3x 163

107:107

540:2x 2x 3x 3x 3x 5

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 3 = 216

Therefore, the value for common factors is 216.

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 = 15261455436480/(1x216)

LCM = 15261455436480/216

LCM = 70654886280

Thus, we can understand that the LCM of 744,726,489,107,540 is 70654886280.

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

• LCM of 868, 615, 202, 493, 180
• LCM of 421, 152, 958, 515, 695
• LCM of 930, 229, 599, 307, 746
• LCM of 248, 654, 676, 975, 223
• LCM of 568, 874, 614, 533, 995

1. What is the LCM of 744, 726, 489, 107, 540?

Answer: LCM of 744, 726, 489, 107, 540 is 70654886280.

2. How to calculate the LCM of 744, 726, 489, 107, 540?

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, 726, 489, 107, 540.

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}.