Given numbers are 370,354,440,660,940

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

The LCM of 370,354,440,660,940 is 135433320.

Find LCM of 370,354,440,660,940 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 37 x 59 x 2 x 1 x 47 = 135433320

Therefore, the lowest common multiple of 370,354,440,660,940 is 135433320.

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.

370 x 354 x 440 x 660 x 940 = 35754396480000

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

354 : 1, 2, 3, 6, 59, 118, 177, 354

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,354,440,660,940, is 2.

Now, the common factors can be found like this.

370:2x 5x 37

354:2x 3x 59

440:2x 2x 2x 5x 11

660:2x 2x 3x 5x 11

940:2x 2x 5x 47

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 3x 5x 5x 5x 11 = 132000

Therefore, the value for common factors is 132000.

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 = 35754396480000/(2x132000)

LCM = 35754396480000/264000

LCM = 135433320

Thus, we can understand that the LCM of 370,354,440,660,940 is 135433320.

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

• LCM of 913, 973, 857, 621, 449
• LCM of 675, 229, 904, 327, 744
• LCM of 848, 738, 577, 842, 640
• LCM of 695, 602, 476, 452, 389
• LCM of 228, 614, 926, 479, 619

1. What is the LCM of 370, 354, 440, 660, 940?

Answer: LCM of 370, 354, 440, 660, 940 is 135433320.

2. How to calculate the LCM of 370, 354, 440, 660, 940?

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 370, 354, 440, 660, 940.

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}.