Given numbers are 592,248,476,343,493

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

The LCM of 592,248,476,343,493 is 3103304848.

Find LCM of 592,248,476,343,493 with Prime Factorization

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

2 x 2 x 2 x 7 x 17 x 74 x 31 x 1 x 49 x 29 = 3103304848

Therefore, the lowest common multiple of 592,248,476,343,493 is 3103304848.

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.

592 x 248 x 476 x 343 x 493 = 11817384861184

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

248 : 1, 2, 4, 8, 31, 62, 124, 248

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

343 : 1, 7, 49, 343

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,248,476,343,493, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

248:2x 2x 2x 31

476:2x 2x 7x 17

343:7x 7x 7

493:17x 29

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 7x 17 = 3808

Therefore, the value for common factors is 3808.

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 = 11817384861184/(1x3808)

LCM = 11817384861184/3808

LCM = 3103304848

Thus, we can understand that the LCM of 592,248,476,343,493 is 3103304848.

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

• LCM of 194, 797, 871, 933, 139
• LCM of 297, 318, 101, 661, 300
• LCM of 754, 204, 834, 441, 890
• LCM of 668, 727, 349, 893, 611
• LCM of 635, 128, 293, 778, 494

1. What is the LCM of 592, 248, 476, 343, 493?

Answer: LCM of 592, 248, 476, 343, 493 is 3103304848.

2. How to calculate the LCM of 592, 248, 476, 343, 493?

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 592, 248, 476, 343, 493.

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}.