Given numbers are 477,349,720,782,738

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

The LCM of 477,349,720,782,738 is 213498293040.

Find LCM of 477,349,720,782,738 with Prime Factorization

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

2 x 3 x 3 x 53 x 349 x 40 x 391 x 41 = 213498293040

Therefore, the lowest common multiple of 477,349,720,782,738 is 213498293040.

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 349 x 720 x 782 x 738 = 69173446944960

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

349 : 1, 349

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

782 : 1, 2, 17, 23, 34, 46, 391, 782

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,349,720,782,738, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

349:349

720:2x 2x 2x 2x 3x 3x 5

782:2x 17x 23

738:2x 3x 3x 41

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 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 69173446944960/(1x324)

LCM = 69173446944960/324

LCM = 213498293040

Thus, we can understand that the LCM of 477,349,720,782,738 is 213498293040.

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

• LCM of 347, 882, 550, 396, 682
• LCM of 988, 250, 455, 739, 246
• LCM of 406, 387, 609, 213, 795
• LCM of 421, 718, 354, 586, 116
• LCM of 732, 149, 601, 325, 729

1. What is the LCM of 477, 349, 720, 782, 738?

Answer: LCM of 477, 349, 720, 782, 738 is 213498293040.

2. How to calculate the LCM of 477, 349, 720, 782, 738?

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, 349, 720, 782, 738.

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}.