Given numbers are 734,925,540,470,428

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

The LCM of 734,925,540,470,428 is 184379735700.

Find LCM of 734,925,540,470,428 with Prime Factorization

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

2 x 2 x 5 x 367 x 185 x 27 x 47 x 107 = 184379735700

Therefore, the lowest common multiple of 734,925,540,470,428 is 184379735700.

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.

734 x 925 x 540 x 470 x 428 = 73751894280000

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.

734 : 1, 2, 367, 734

925 : 1, 5, 25, 37, 185, 925

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,925,540,470,428, is 1.

Now, the common factors can be found like this.

734:2x 367

925:5x 5x 37

540:2x 2x 3x 3x 3x 5

470:2x 5x 47

428:2x 2x 107

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 5 = 400

Therefore, the value for common factors is 400.

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 = 73751894280000/(1x400)

LCM = 73751894280000/400

LCM = 184379735700

Thus, we can understand that the LCM of 734,925,540,470,428 is 184379735700.

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

• LCM of 355, 876, 789, 264, 529
• LCM of 381, 955, 339, 527, 250
• LCM of 590, 747, 845, 567, 266
• LCM of 852, 261, 133, 419, 386
• LCM of 517, 112, 814, 970, 958

1. What is the LCM of 734, 925, 540, 470, 428?

Answer: LCM of 734, 925, 540, 470, 428 is 184379735700.

2. How to calculate the LCM of 734, 925, 540, 470, 428?

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 734, 925, 540, 470, 428.

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}.