Given numbers are 494,780,475,950,380

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

The LCM of 494,780,475,950,380 is 74100.

Find LCM of 494,780,475,950,380 with Prime Factorization

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

2 x 2 x 5 x 5 x 13 x 19 x 1 x 3 x 1 x 1 x 1 = 74100

Therefore, the lowest common multiple of 494,780,475,950,380 is 74100.

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.

494 x 780 x 475 x 950 x 380 = 66072747000000

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

475 : 1, 5, 19, 25, 95, 475

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,780,475,950,380, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

780:2x 2x 3x 5x 13

475:5x 5x 19

950:2x 5x 5x 19

380:2x 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 2x 5x 5x 5x 5x 13x 19x 19x 19 = 891670000

Therefore, the value for common factors is 891670000.

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 = 66072747000000/(1x891670000)

LCM = 66072747000000/891670000

LCM = 74100

Thus, we can understand that the LCM of 494,780,475,950,380 is 74100.

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

• LCM of 826, 243, 114, 238, 447
• LCM of 388, 976, 345, 174, 624
• LCM of 882, 308, 323, 652, 274
• LCM of 988, 210, 933, 298, 291
• LCM of 422, 815, 400, 556, 972

1. What is the LCM of 494, 780, 475, 950, 380?

Answer: LCM of 494, 780, 475, 950, 380 is 74100.

2. How to calculate the LCM of 494, 780, 475, 950, 380?

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 494, 780, 475, 950, 380.

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}.