Given numbers are 538,249,269,888,750

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

The LCM of 538,249,269,888,750 is 2478297000.

Find LCM of 538,249,269,888,750 with Prime Factorization

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

2 x 3 x 269 x 1 x 83 x 1 x 148 x 125 = 2478297000

Therefore, the lowest common multiple of 538,249,269,888,750 is 2478297000.

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.

538 x 249 x 269 x 888 x 750 = 23999828148000

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.

538 : 1, 2, 269, 538

249 : 1, 3, 83, 249

269 : 1, 269

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,249,269,888,750, is 1.

Now, the common factors can be found like this.

538:2x 269

249:3x 83

269:269

888:2x 2x 2x 3x 37

750:2x 3x 5x 5x 5

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 269 = 9684

Therefore, the value for common factors is 9684.

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 = 23999828148000/(1x9684)

LCM = 23999828148000/9684

LCM = 2478297000

Thus, we can understand that the LCM of 538,249,269,888,750 is 2478297000.

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

• LCM of 993, 452, 843, 210, 744
• LCM of 799, 826, 686, 486, 563
• LCM of 825, 142, 313, 359, 459
• LCM of 793, 609, 442, 924, 617
• LCM of 425, 990, 106, 309, 684

1. What is the LCM of 538, 249, 269, 888, 750?

Answer: LCM of 538, 249, 269, 888, 750 is 2478297000.

2. How to calculate the LCM of 538, 249, 269, 888, 750?

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 538, 249, 269, 888, 750.

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}.