Given numbers are 748,976,652,544

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

The LCM of 748,976,652,544 is 59498912.

Find LCM of 748,976,652,544 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 11 x 61 x 163 x 2 = 59498912

Therefore, the lowest common multiple of 748,976,652,544 is 59498912.

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.

748 x 976 x 652 x 544 = 258939265024

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.

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

652 : 1, 2, 4, 163, 326, 652

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,976,652,544, is 4.

Now, the common factors can be found like this.

748:2x 2x 11x 17

976:2x 2x 2x 2x 61

652:2x 2x 163

544:2x 2x 2x 2x 2x 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 2x 2x 17 = 1088

Therefore, the value for common factors is 1088.

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 = 258939265024/(4x1088)

LCM = 258939265024/4352

LCM = 59498912

Thus, we can understand that the LCM of 748,976,652,544 is 59498912.

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

• LCM of 165, 798, 204, 570
• LCM of 819, 733, 418, 294
• LCM of 110, 555, 589, 728
• LCM of 919, 158, 637, 204
• LCM of 492, 566, 240, 787

1. What is the LCM of 748, 976, 652, 544?

Answer: LCM of 748, 976, 652, 544 is 59498912.

2. How to calculate the LCM of 748, 976, 652, 544?

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 748, 976, 652, 544.

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}.