Given numbers are 741,346,394,624,774

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

The LCM of 741,346,394,624,774 is 52124299344.

Find LCM of 741,346,394,624,774 with Prime Factorization

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

2 x 3 x 13 x 19 x 173 x 197 x 8 x 129 = 52124299344

Therefore, the lowest common multiple of 741,346,394,624,774 is 52124299344.

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.

741 x 346 x 394 x 624 x 774 = 48788344185984

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

346 : 1, 2, 173, 346

394 : 1, 2, 197, 394

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,346,394,624,774, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

346:2x 173

394:2x 197

624:2x 2x 2x 2x 3x 13

774:2x 3x 3x 43

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 13 = 936

Therefore, the value for common factors is 936.

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 = 48788344185984/(1x936)

LCM = 48788344185984/936

LCM = 52124299344

Thus, we can understand that the LCM of 741,346,394,624,774 is 52124299344.

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

• LCM of 491, 581, 549, 350, 659
• LCM of 869, 696, 299, 561, 603
• LCM of 335, 456, 562, 864, 249
• LCM of 433, 328, 146, 102, 184
• LCM of 463, 643, 370, 326, 703

1. What is the LCM of 741, 346, 394, 624, 774?

Answer: LCM of 741, 346, 394, 624, 774 is 52124299344.

2. How to calculate the LCM of 741, 346, 394, 624, 774?

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 741, 346, 394, 624, 774.

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}.