Given numbers are 135,720,627,424,282

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

The LCM of 135,720,627,424,282 is 1124537040.

Find LCM of 135,720,627,424,282 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 3 x 2 x 209 x 53 x 47 = 1124537040

Therefore, the lowest common multiple of 135,720,627,424,282 is 1124537040.

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.

135 x 720 x 627 x 424 x 282 = 7287000019200

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

627 : 1, 3, 11, 19, 33, 57, 209, 627

424 : 1, 2, 4, 8, 53, 106, 212, 424

282 : 1, 2, 3, 6, 47, 94, 141, 282

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,720,627,424,282, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

720:2x 2x 2x 2x 3x 3x 5

627:3x 11x 19

424:2x 2x 2x 53

282:2x 3x 47

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 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 7287000019200/(1x6480)

LCM = 7287000019200/6480

LCM = 1124537040

Thus, we can understand that the LCM of 135,720,627,424,282 is 1124537040.

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

• LCM of 468, 300, 306, 105, 752
• LCM of 678, 780, 648, 778, 151
• LCM of 772, 877, 556, 597, 293
• LCM of 945, 848, 806, 615, 988
• LCM of 888, 403, 781, 949, 264

1. What is the LCM of 135, 720, 627, 424, 282?

Answer: LCM of 135, 720, 627, 424, 282 is 1124537040.

2. How to calculate the LCM of 135, 720, 627, 424, 282?

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 135, 720, 627, 424, 282.

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}.