Given numbers are 242,319,683,407

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

The LCM of 242,319,683,407 is 177351878.

Find LCM of 242,319,683,407 with Prime Factorization

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

11 x 22 x 29 x 683 x 37 = 177351878

Therefore, the lowest common multiple of 242,319,683,407 is 177351878.

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 319 x 683 x 407 = 21459577238

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

319 : 1, 11, 29, 319

683 : 1, 683

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,319,683,407, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

319:11x 29

683:683

407:11x 37

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 21459577238/(1x121)

LCM = 21459577238/121

LCM = 177351878

Thus, we can understand that the LCM of 242,319,683,407 is 177351878.

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

• LCM of 732, 870, 261, 503
• LCM of 716, 209, 504, 280
• LCM of 119, 827, 388, 453
• LCM of 823, 127, 302, 704
• LCM of 925, 138, 204, 714

1. What is the LCM of 242, 319, 683, 407?

Answer: LCM of 242, 319, 683, 407 is 177351878.

2. How to calculate the LCM of 242, 319, 683, 407?

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, 319, 683, 407.

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}.