Given numbers are 242,592,540,121,920

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

The LCM of 242,592,540,121,920 is 222417360.

Find LCM of 242,592,540,121,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 11 x 1 x 74 x 27 x 1 x 23 = 222417360

Therefore, the lowest common multiple of 242,592,540,121,920 is 222417360.

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.

242 x 592 x 540 x 121 x 920 = 8612000179200

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.

242 : 1, 2, 11, 22, 121, 242

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

121 : 1, 11, 121

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,592,540,121,920, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

592:2x 2x 2x 2x 37

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

121:11x 11

920:2x 2x 2x 5x 23

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 2x 2x 5x 11x 11 = 38720

Therefore, the value for common factors is 38720.

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 = 8612000179200/(1x38720)

LCM = 8612000179200/38720

LCM = 222417360

Thus, we can understand that the LCM of 242,592,540,121,920 is 222417360.

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

• LCM of 688, 569, 119, 934, 525
• LCM of 332, 580, 930, 348, 825
• LCM of 613, 495, 866, 334, 736
• LCM of 524, 258, 874, 119, 821
• LCM of 327, 949, 416, 599, 828

1. What is the LCM of 242, 592, 540, 121, 920?

Answer: LCM of 242, 592, 540, 121, 920 is 222417360.

2. How to calculate the LCM of 242, 592, 540, 121, 920?

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 242, 592, 540, 121, 920.

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}.