Given numbers are 231,319,242,976

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

The LCM of 231,319,242,976 is 71920464.

Find LCM of 231,319,242,976 with Prime Factorization

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

2 x 11 x 21 x 29 x 11 x 488 = 71920464

Therefore, the lowest common multiple of 231,319,242,976 is 71920464.

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.

231 x 319 x 242 x 976 = 17404752288

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

319 : 1, 11, 29, 319

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,319,242,976, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

319:11x 29

242:2x 11x 11

976:2x 2x 2x 2x 61

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 17404752288/(1x242)

LCM = 17404752288/242

LCM = 71920464

Thus, we can understand that the LCM of 231,319,242,976 is 71920464.

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

• LCM of 142, 489, 834, 520
• LCM of 599, 121, 247, 376
• LCM of 321, 786, 115, 665
• LCM of 937, 308, 276, 595
• LCM of 715, 849, 436, 145

1. What is the LCM of 231, 319, 242, 976?

Answer: LCM of 231, 319, 242, 976 is 71920464.

2. How to calculate the LCM of 231, 319, 242, 976?

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 231, 319, 242, 976.

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}.