Given numbers are 286,402,357,374,438

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

The LCM of 286,402,357,374,438 is 499380882.

Find LCM of 286,402,357,374,438 with Prime Factorization

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

2 x 3 x 11 x 17 x 13 x 67 x 7 x 1 x 73 = 499380882

Therefore, the lowest common multiple of 286,402,357,374,438 is 499380882.

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.

286 x 402 x 357 x 374 x 438 = 6723664195248

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

402 : 1, 2, 3, 6, 67, 134, 201, 402

357 : 1, 3, 7, 17, 21, 51, 119, 357

374 : 1, 2, 11, 17, 22, 34, 187, 374

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,402,357,374,438, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

402:2x 3x 67

357:3x 7x 17

374:2x 11x 17

438:2x 3x 73

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 3x 3x 11x 17 = 13464

Therefore, the value for common factors is 13464.

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 = 6723664195248/(1x13464)

LCM = 6723664195248/13464

LCM = 499380882

Thus, we can understand that the LCM of 286,402,357,374,438 is 499380882.

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

• LCM of 879, 381, 455, 393, 760
• LCM of 300, 762, 962, 547, 478
• LCM of 854, 144, 658, 565, 865
• LCM of 247, 855, 418, 939, 314
• LCM of 618, 950, 500, 305, 814

1. What is the LCM of 286, 402, 357, 374, 438?

Answer: LCM of 286, 402, 357, 374, 438 is 499380882.

2. How to calculate the LCM of 286, 402, 357, 374, 438?

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 286, 402, 357, 374, 438.

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}.