Given numbers are 742,834,450,824,314

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

The LCM of 742,834,450,824,314 is 1501060138200.

Find LCM of 742,834,450,824,314 with Prime Factorization

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

2 x 3 x 371 x 139 x 75 x 412 x 157 = 1501060138200

Therefore, the lowest common multiple of 742,834,450,824,314 is 1501060138200.

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 834 x 450 x 824 x 314 = 72050886633600

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

834 : 1, 2, 3, 6, 139, 278, 417, 834

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

314 : 1, 2, 157, 314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,834,450,824,314, is 2.

Now, the common factors can be found like this.

742:2x 7x 53

834:2x 3x 139

450:2x 3x 3x 5x 5

824:2x 2x 2x 103

314:2x 157

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 3 = 24

Therefore, the value for common factors is 24.

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 = 72050886633600/(2x24)

LCM = 72050886633600/48

LCM = 1501060138200

Thus, we can understand that the LCM of 742,834,450,824,314 is 1501060138200.

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

• LCM of 798, 333, 780, 168, 848
• LCM of 699, 613, 327, 191, 507
• LCM of 573, 466, 194, 505, 188
• LCM of 571, 125, 996, 568, 301
• LCM of 854, 486, 427, 669, 701

1. What is the LCM of 742, 834, 450, 824, 314?

Answer: LCM of 742, 834, 450, 824, 314 is 1501060138200.

2. How to calculate the LCM of 742, 834, 450, 824, 314?

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, 834, 450, 824, 314.

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}.