Given numbers are 379,714,368,202,450

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

The LCM of 379,714,368,202,450 is 377170642800.

Find LCM of 379,714,368,202,450 with Prime Factorization

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

2 x 3 x 379 x 119 x 184 x 101 x 75 = 377170642800

Therefore, the lowest common multiple of 379,714,368,202,450 is 377170642800.

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.

379 x 714 x 368 x 202 x 450 = 9052095427200

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.

379 : 1, 379

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

202 : 1, 2, 101, 202

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 379,714,368,202,450, is 1.

Now, the common factors can be found like this.

379:379

714:2x 3x 7x 17

368:2x 2x 2x 2x 23

202:2x 101

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9052095427200/(1x24)

LCM = 9052095427200/24

LCM = 377170642800

Thus, we can understand that the LCM of 379,714,368,202,450 is 377170642800.

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

• LCM of 162, 443, 989, 464, 344
• LCM of 132, 939, 748, 477, 813
• LCM of 832, 655, 816, 720, 843
• LCM of 640, 582, 508, 897, 343
• LCM of 337, 543, 426, 193, 387

1. What is the LCM of 379, 714, 368, 202, 450?

Answer: LCM of 379, 714, 368, 202, 450 is 377170642800.

2. How to calculate the LCM of 379, 714, 368, 202, 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 379, 714, 368, 202, 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}.