Given numbers are 742,316,398,450,514

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

The LCM of 742,316,398,450,514 is 1349055168300.

Find LCM of 742,316,398,450,514 with Prime Factorization

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

2 x 371 x 158 x 199 x 225 x 257 = 1349055168300

Therefore, the lowest common multiple of 742,316,398,450,514 is 1349055168300.

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.

742 x 316 x 398 x 450 x 514 = 21584882692800

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

316 : 1, 2, 4, 79, 158, 316

398 : 1, 2, 199, 398

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,316,398,450,514, is 2.

Now, the common factors can be found like this.

742:2x 7x 53

316:2x 2x 79

398:2x 199

450:2x 3x 3x 5x 5

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 2 = 8

Therefore, the value for common factors is 8.

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 = 21584882692800/(2x8)

LCM = 21584882692800/16

LCM = 1349055168300

Thus, we can understand that the LCM of 742,316,398,450,514 is 1349055168300.

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

• LCM of 993, 503, 294, 270, 797
• LCM of 692, 795, 500, 855, 627
• LCM of 410, 372, 388, 149, 586
• LCM of 695, 535, 108, 636, 858
• LCM of 649, 625, 500, 527, 336

1. What is the LCM of 742, 316, 398, 450, 514?

Answer: LCM of 742, 316, 398, 450, 514 is 1349055168300.

2. How to calculate the LCM of 742, 316, 398, 450, 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 742, 316, 398, 450, 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}.