Given numbers are 121,148,240,576

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

The LCM of 121,148,240,576 is 12893760.

Find LCM of 121,148,240,576 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 121 x 37 x 5 x 12 = 12893760

Therefore, the lowest common multiple of 121,148,240,576 is 12893760.

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.

121 x 148 x 240 x 576 = 2475601920

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.

121 : 1, 11, 121

148 : 1, 2, 4, 37, 74, 148

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

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,148,240,576, is 1.

Now, the common factors can be found like this.

121:11x 11

148:2x 2x 37

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

576:2x 2x 2x 2x 2x 2x 3x 3

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 3 = 192

Therefore, the value for common factors is 192.

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 = 2475601920/(1x192)

LCM = 2475601920/192

LCM = 12893760

Thus, we can understand that the LCM of 121,148,240,576 is 12893760.

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

• LCM of 188, 772, 914, 907
• LCM of 209, 248, 827, 451
• LCM of 934, 231, 841, 683
• LCM of 566, 101, 481, 947
• LCM of 904, 605, 624, 369

1. What is the LCM of 121, 148, 240, 576?

Answer: LCM of 121, 148, 240, 576 is 12893760.

2. How to calculate the LCM of 121, 148, 240, 576?

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 121, 148, 240, 576.

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}.