Given numbers are 748,514,734,762

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

The LCM of 748,514,734,762 is 26879783172.

Find LCM of 748,514,734,762 with Prime Factorization

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

2 x 374 x 257 x 367 x 381 = 26879783172

Therefore, the lowest common multiple of 748,514,734,762 is 26879783172.

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 514 x 734 x 762 = 215038265376

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

514 : 1, 2, 257, 514

734 : 1, 2, 367, 734

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,514,734,762, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

514:2x 257

734:2x 367

762:2x 3x 127

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 215038265376/(2x4)

LCM = 215038265376/8

LCM = 26879783172

Thus, we can understand that the LCM of 748,514,734,762 is 26879783172.

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

• LCM of 403, 495, 504, 158
• LCM of 620, 886, 970, 565
• LCM of 852, 512, 814, 774
• LCM of 357, 309, 543, 106
• LCM of 519, 892, 661, 441

1. What is the LCM of 748, 514, 734, 762?

Answer: LCM of 748, 514, 734, 762 is 26879783172.

2. How to calculate the LCM of 748, 514, 734, 762?

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, 514, 734, 762.

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}.