Given numbers are 372,220,175,590,284

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

The LCM of 372,220,175,590,284 is 2999742900.

Find LCM of 372,220,175,590,284 with Prime Factorization

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

2 x 2 x 5 x 93 x 11 x 35 x 59 x 71 = 2999742900

Therefore, the lowest common multiple of 372,220,175,590,284 is 2999742900.

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.

372 x 220 x 175 x 590 x 284 = 2399794320000

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.

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

175 : 1, 5, 7, 25, 35, 175

590 : 1, 2, 5, 10, 59, 118, 295, 590

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 372,220,175,590,284, is 1.

Now, the common factors can be found like this.

372:2x 2x 3x 31

220:2x 2x 5x 11

175:5x 5x 7

590:2x 5x 59

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 2x 2x 2x 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 2399794320000/(1x800)

LCM = 2399794320000/800

LCM = 2999742900

Thus, we can understand that the LCM of 372,220,175,590,284 is 2999742900.

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

• LCM of 752, 972, 637, 960, 779
• LCM of 463, 309, 546, 978, 273
• LCM of 428, 972, 847, 881, 296
• LCM of 939, 347, 182, 365, 111
• LCM of 237, 178, 359, 855, 623

1. What is the LCM of 372, 220, 175, 590, 284?

Answer: LCM of 372, 220, 175, 590, 284 is 2999742900.

2. How to calculate the LCM of 372, 220, 175, 590, 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 372, 220, 175, 590, 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}.