Given numbers are 241,920,354,980,784

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

The LCM of 241,920,354,980,784 is 3845955120.

Find LCM of 241,920,354,980,784 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 7 x 241 x 23 x 177 x 1 x 2 = 3845955120

Therefore, the lowest common multiple of 241,920,354,980,784 is 3845955120.

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.

241 x 920 x 354 x 980 x 784 = 60304576281600

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.

241 : 1, 241

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,920,354,980,784, is 1.

Now, the common factors can be found like this.

241:241

920:2x 2x 2x 5x 23

354:2x 3x 59

980:2x 2x 5x 7x 7

784:2x 2x 2x 2x 7x 7

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 7x 7 = 15680

Therefore, the value for common factors is 15680.

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 = 60304576281600/(1x15680)

LCM = 60304576281600/15680

LCM = 3845955120

Thus, we can understand that the LCM of 241,920,354,980,784 is 3845955120.

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

• LCM of 582, 329, 418, 923, 464
• LCM of 549, 567, 686, 260, 127
• LCM of 630, 880, 102, 171, 869
• LCM of 321, 527, 152, 271, 974
• LCM of 631, 226, 380, 856, 283

1. What is the LCM of 241, 920, 354, 980, 784?

Answer: LCM of 241, 920, 354, 980, 784 is 3845955120.

2. How to calculate the LCM of 241, 920, 354, 980, 784?

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 241, 920, 354, 980, 784.

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}.