Given numbers are 428,195,749,627,963

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

The LCM of 428,195,749,627,963 is 366305940.

Find LCM of 428,195,749,627,963 with Prime Factorization

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

3 x 107 x 4 x 65 x 7 x 209 x 3 = 366305940

Therefore, the lowest common multiple of 428,195,749,627,963 is 366305940.

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.

428 x 195 x 749 x 627 x 963 = 37744530363540

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.

428 : 1, 2, 4, 107, 214, 428

195 : 1, 3, 5, 13, 15, 39, 65, 195

749 : 1, 7, 107, 749

627 : 1, 3, 11, 19, 33, 57, 209, 627

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,195,749,627,963, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

195:3x 5x 13

749:7x 107

627:3x 11x 19

963:3x 3x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 107x 107 = 103041

Therefore, the value for common factors is 103041.

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 = 37744530363540/(1x103041)

LCM = 37744530363540/103041

LCM = 366305940

Thus, we can understand that the LCM of 428,195,749,627,963 is 366305940.

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

• LCM of 694, 213, 114, 130, 322
• LCM of 394, 481, 900, 767, 510
• LCM of 230, 624, 548, 250, 126
• LCM of 751, 453, 589, 425, 412
• LCM of 796, 511, 708, 851, 677

1. What is the LCM of 428, 195, 749, 627, 963?

Answer: LCM of 428, 195, 749, 627, 963 is 366305940.

2. How to calculate the LCM of 428, 195, 749, 627, 963?

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 428, 195, 749, 627, 963.

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}.