Given numbers are 362,118,241,284

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

The LCM of 362,118,241,284 is 730913476.

Find LCM of 362,118,241,284 with Prime Factorization

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

2 x 181 x 59 x 241 x 142 = 730913476

Therefore, the lowest common multiple of 362,118,241,284 is 730913476.

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.

362 x 118 x 241 x 284 = 2923653904

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.

362 : 1, 2, 181, 362

118 : 1, 2, 59, 118

241 : 1, 241

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,118,241,284, is 1.

Now, the common factors can be found like this.

362:2x 181

118:2x 59

241:241

284:2x 2x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2923653904/(1x4)

LCM = 2923653904/4

LCM = 730913476

Thus, we can understand that the LCM of 362,118,241,284 is 730913476.

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

• LCM of 460, 345, 316, 436
• LCM of 504, 184, 760, 826
• LCM of 437, 818, 826, 466
• LCM of 733, 900, 651, 825
• LCM of 776, 150, 388, 477

1. What is the LCM of 362, 118, 241, 284?

Answer: LCM of 362, 118, 241, 284 is 730913476.

2. How to calculate the LCM of 362, 118, 241, 284?

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 362, 118, 241, 284.

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}.