Given numbers are 758,138,381,514

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

The LCM of 758,138,381,514 is 1707084978.

Find LCM of 758,138,381,514 with Prime Factorization

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

2 x 3 x 379 x 23 x 127 x 257 = 1707084978

Therefore, the lowest common multiple of 758,138,381,514 is 1707084978.

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.

758 x 138 x 381 x 514 = 20485019736

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.

758 : 1, 2, 379, 758

138 : 1, 2, 3, 6, 23, 46, 69, 138

381 : 1, 3, 127, 381

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,138,381,514, is 1.

Now, the common factors can be found like this.

758:2x 379

138:2x 3x 23

381:3x 127

514:2x 257

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 3 = 12

Therefore, the value for common factors is 12.

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 = 20485019736/(1x12)

LCM = 20485019736/12

LCM = 1707084978

Thus, we can understand that the LCM of 758,138,381,514 is 1707084978.

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

• LCM of 911, 730, 348, 188
• LCM of 784, 876, 771, 646
• LCM of 482, 816, 395, 413
• LCM of 119, 618, 307, 703
• LCM of 530, 870, 434, 501

1. What is the LCM of 758, 138, 381, 514?

Answer: LCM of 758, 138, 381, 514 is 1707084978.

2. How to calculate the LCM of 758, 138, 381, 514?

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 758, 138, 381, 514.

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}.