Given numbers are 378,653,331,276,165

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

The LCM of 378,653,331,276,165 is 206706196620.

Find LCM of 378,653,331,276,165 with Prime Factorization

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

2 x 3 x 63 x 653 x 331 x 46 x 55 = 206706196620

Therefore, the lowest common multiple of 378,653,331,276,165 is 206706196620.

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.

378 x 653 x 331 x 276 x 165 = 3720711539160

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

653 : 1, 653

331 : 1, 331

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,653,331,276,165, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

653:653

331:331

276:2x 2x 3x 23

165:3x 5x 11

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3720711539160/(1x18)

LCM = 3720711539160/18

LCM = 206706196620

Thus, we can understand that the LCM of 378,653,331,276,165 is 206706196620.

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

• LCM of 243, 580, 249, 511, 507
• LCM of 840, 445, 690, 338, 160
• LCM of 384, 648, 650, 575, 410
• LCM of 863, 682, 794, 525, 577
• LCM of 240, 473, 851, 814, 959

1. What is the LCM of 378, 653, 331, 276, 165?

Answer: LCM of 378, 653, 331, 276, 165 is 206706196620.

2. How to calculate the LCM of 378, 653, 331, 276, 165?

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 378, 653, 331, 276, 165.

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}.