Given numbers are 364,582,153,168,374

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

The LCM of 364,582,153,168,374 is 118846728.

Find LCM of 364,582,153,168,374 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 13 x 97 x 3 x 2 x 11 = 118846728

Therefore, the lowest common multiple of 364,582,153,168,374 is 118846728.

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.

364 x 582 x 153 x 168 x 374 = 2036557531008

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

582 : 1, 2, 3, 6, 97, 194, 291, 582

153 : 1, 3, 9, 17, 51, 153

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,582,153,168,374, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

582:2x 3x 97

153:3x 3x 17

168:2x 2x 2x 3x 7

374:2x 11x 17

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 3x 3x 7x 17 = 17136

Therefore, the value for common factors is 17136.

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 = 2036557531008/(1x17136)

LCM = 2036557531008/17136

LCM = 118846728

Thus, we can understand that the LCM of 364,582,153,168,374 is 118846728.

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

• LCM of 827, 931, 199, 692, 344
• LCM of 759, 661, 335, 415, 306
• LCM of 355, 557, 410, 492, 915
• LCM of 735, 194, 975, 844, 535
• LCM of 701, 629, 768, 494, 280

1. What is the LCM of 364, 582, 153, 168, 374?

Answer: LCM of 364, 582, 153, 168, 374 is 118846728.

2. How to calculate the LCM of 364, 582, 153, 168, 374?

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 364, 582, 153, 168, 374.

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}.