Given numbers are 240,135,967,561,555

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

The LCM of 240,135,967,561,555 is 14451853680.

Find LCM of 240,135,967,561,555 with Prime Factorization

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

3 x 5 x 16 x 9 x 967 x 187 x 37 = 14451853680

Therefore, the lowest common multiple of 240,135,967,561,555 is 14451853680.

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.

240 x 135 x 967 x 561 x 555 = 9755001234000

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

967 : 1, 967

561 : 1, 3, 11, 17, 33, 51, 187, 561

555 : 1, 3, 5, 15, 37, 111, 185, 555

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,135,967,561,555, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

135:3x 3x 3x 5

967:967

561:3x 11x 17

555:3x 5x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 5x 5 = 675

Therefore, the value for common factors is 675.

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 = 9755001234000/(1x675)

LCM = 9755001234000/675

LCM = 14451853680

Thus, we can understand that the LCM of 240,135,967,561,555 is 14451853680.

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

• LCM of 348, 145, 992, 744, 706
• LCM of 987, 549, 278, 939, 360
• LCM of 125, 233, 550, 840, 432
• LCM of 747, 996, 692, 364, 788
• LCM of 917, 650, 163, 333, 626

1. What is the LCM of 240, 135, 967, 561, 555?

Answer: LCM of 240, 135, 967, 561, 555 is 14451853680.

2. How to calculate the LCM of 240, 135, 967, 561, 555?

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 240, 135, 967, 561, 555.

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}.