Given numbers are 370,738,400,407,190

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

The LCM of 370,738,400,407,190 is 1141390800.

Find LCM of 370,738,400,407,190 with Prime Factorization

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

2 x 5 x 37 x 1 x 369 x 40 x 11 x 19 = 1141390800

Therefore, the lowest common multiple of 370,738,400,407,190 is 1141390800.

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 738 x 400 x 407 x 190 = 8446291920000

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

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

407 : 1, 11, 37, 407

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,738,400,407,190, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

738:2x 3x 3x 41

400:2x 2x 2x 2x 5x 5

407:11x 37

190:2x 5x 19

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 5x 5x 37 = 7400

Therefore, the value for common factors is 7400.

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 = 8446291920000/(1x7400)

LCM = 8446291920000/7400

LCM = 1141390800

Thus, we can understand that the LCM of 370,738,400,407,190 is 1141390800.

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

• LCM of 144, 590, 562, 867, 142
• LCM of 226, 791, 964, 961, 411
• LCM of 749, 726, 778, 278, 566
• LCM of 106, 476, 924, 169, 834
• LCM of 469, 979, 760, 592, 624

1. What is the LCM of 370, 738, 400, 407, 190?

Answer: LCM of 370, 738, 400, 407, 190 is 1141390800.

2. How to calculate the LCM of 370, 738, 400, 407, 190?

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, 738, 400, 407, 190.

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}.