Given numbers are 370,420,349,990,450

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

The LCM of 370,420,349,990,450 is 894870900.

Find LCM of 370,420,349,990,450 with Prime Factorization

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

2 x 3 x 3 x 5 x 37 x 14 x 349 x 11 x 5 = 894870900

Therefore, the lowest common multiple of 370,420,349,990,450 is 894870900.

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 420 x 349 x 990 x 450 = 24161514300000

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

349 : 1, 349

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,420,349,990,450, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

420:2x 2x 3x 5x 7

349:349

990:2x 3x 3x 5x 11

450:2x 3x 3x 5x 5

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 3x 3x 3x 5x 5x 5 = 27000

Therefore, the value for common factors is 27000.

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 = 24161514300000/(1x27000)

LCM = 24161514300000/27000

LCM = 894870900

Thus, we can understand that the LCM of 370,420,349,990,450 is 894870900.

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

• LCM of 811, 303, 293, 896, 897
• LCM of 651, 846, 108, 488, 800
• LCM of 429, 688, 524, 591, 689
• LCM of 634, 896, 729, 524, 769
• LCM of 257, 920, 750, 733, 663

1. What is the LCM of 370, 420, 349, 990, 450?

Answer: LCM of 370, 420, 349, 990, 450 is 894870900.

2. How to calculate the LCM of 370, 420, 349, 990, 450?

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, 420, 349, 990, 450.

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}.