Given numbers are 379,420,774,798,350

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

The LCM of 379,420,774,798,350 is 1950750900.

Find LCM of 379,420,774,798,350 with Prime Factorization

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

2 x 3 x 5 x 7 x 379 x 2 x 129 x 19 x 5 = 1950750900

Therefore, the lowest common multiple of 379,420,774,798,350 is 1950750900.

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 420 x 774 x 798 x 350 = 34411245876000

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

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,420,774,798,350, is 1.

Now, the common factors can be found like this.

379:379

420:2x 2x 3x 5x 7

774:2x 3x 3x 43

798:2x 3x 7x 19

350:2x 5x 5x 7

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 5x 7x 7 = 17640

Therefore, the value for common factors is 17640.

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 = 34411245876000/(1x17640)

LCM = 34411245876000/17640

LCM = 1950750900

Thus, we can understand that the LCM of 379,420,774,798,350 is 1950750900.

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

• LCM of 219, 562, 341, 600, 463
• LCM of 571, 857, 305, 462, 919
• LCM of 699, 108, 522, 648, 509
• LCM of 766, 791, 945, 401, 667
• LCM of 198, 948, 976, 238, 172

1. What is the LCM of 379, 420, 774, 798, 350?

Answer: LCM of 379, 420, 774, 798, 350 is 1950750900.

2. How to calculate the LCM of 379, 420, 774, 798, 350?

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, 420, 774, 798, 350.

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}.