Given numbers are 477,473,490,126,406

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

The LCM of 477,473,490,126,406 is 3206074410.

Find LCM of 477,473,490,126,406 with Prime Factorization

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

2 x 3 x 3 x 7 x 53 x 473 x 35 x 1 x 29 = 3206074410

Therefore, the lowest common multiple of 477,473,490,126,406 is 3206074410.

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.

477 x 473 x 490 x 126 x 406 = 5655515259240

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.

477 : 1, 3, 9, 53, 159, 477

473 : 1, 11, 43, 473

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,473,490,126,406, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

473:11x 43

490:2x 5x 7x 7

126:2x 3x 3x 7

406:2x 7x 29

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 3x 3x 7x 7 = 1764

Therefore, the value for common factors is 1764.

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 = 5655515259240/(1x1764)

LCM = 5655515259240/1764

LCM = 3206074410

Thus, we can understand that the LCM of 477,473,490,126,406 is 3206074410.

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

• LCM of 868, 595, 400, 859, 892
• LCM of 358, 689, 133, 304, 826
• LCM of 818, 213, 648, 666, 392
• LCM of 830, 844, 241, 143, 979
• LCM of 772, 705, 287, 178, 741

1. What is the LCM of 477, 473, 490, 126, 406?

Answer: LCM of 477, 473, 490, 126, 406 is 3206074410.

2. How to calculate the LCM of 477, 473, 490, 126, 406?

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 477, 473, 490, 126, 406.

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}.