Given numbers are 242,305,976,199

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

The LCM of 242,305,976,199 is 117505520.

Find LCM of 242,305,976,199 with Prime Factorization

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

2 x 61 x 121 x 5 x 8 x 199 = 117505520

Therefore, the lowest common multiple of 242,305,976,199 is 117505520.

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 305 x 976 x 199 = 14335673440

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

305 : 1, 5, 61, 305

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,305,976,199, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

305:5x 61

976:2x 2x 2x 2x 61

199:199

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 14335673440/(1x122)

LCM = 14335673440/122

LCM = 117505520

Thus, we can understand that the LCM of 242,305,976,199 is 117505520.

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

• LCM of 516, 403, 711, 561
• LCM of 883, 314, 246, 881
• LCM of 336, 968, 266, 425
• LCM of 611, 793, 509, 941
• LCM of 145, 362, 268, 443

1. What is the LCM of 242, 305, 976, 199?

Answer: LCM of 242, 305, 976, 199 is 117505520.

2. How to calculate the LCM of 242, 305, 976, 199?

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, 305, 976, 199.

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}.