Given numbers are 495,388,528,748

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

The LCM of 495,388,528,748 is 13060080.

Find LCM of 495,388,528,748 with Prime Factorization

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

2 x 2 x 3 x 11 x 15 x 97 x 4 x 17 = 13060080

Therefore, the lowest common multiple of 495,388,528,748 is 13060080.

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.

495 x 388 x 528 x 748 = 75852944640

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

388 : 1, 2, 4, 97, 194, 388

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,388,528,748, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

388:2x 2x 97

528:2x 2x 2x 2x 3x 11

748:2x 2x 11x 17

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 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 75852944640/(1x5808)

LCM = 75852944640/5808

LCM = 13060080

Thus, we can understand that the LCM of 495,388,528,748 is 13060080.

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

• LCM of 294, 516, 508, 586
• LCM of 432, 333, 939, 722
• LCM of 969, 308, 697, 570
• LCM of 134, 736, 128, 613
• LCM of 779, 327, 149, 919

1. What is the LCM of 495, 388, 528, 748?

Answer: LCM of 495, 388, 528, 748 is 13060080.

2. How to calculate the LCM of 495, 388, 528, 748?

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 495, 388, 528, 748.

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}.