Given numbers are 830,197,434,862,312

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

The LCM of 830,197,434,862,312 is 2385645564120.

Find LCM of 830,197,434,862,312 with Prime Factorization

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

2 x 415 x 197 x 217 x 431 x 156 = 2385645564120

Therefore, the lowest common multiple of 830,197,434,862,312 is 2385645564120.

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.

830 x 197 x 434 x 862 x 312 = 19085164512960

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

197 : 1, 197

434 : 1, 2, 7, 14, 31, 62, 217, 434

862 : 1, 2, 431, 862

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,197,434,862,312, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

197:197

434:2x 7x 31

862:2x 431

312:2x 2x 2x 3x 13

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 = 19085164512960/(1x8)

LCM = 19085164512960/8

LCM = 2385645564120

Thus, we can understand that the LCM of 830,197,434,862,312 is 2385645564120.

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

• LCM of 924, 415, 174, 766, 569
• LCM of 754, 620, 106, 340, 781
• LCM of 410, 334, 573, 617, 589
• LCM of 824, 307, 777, 175, 182
• LCM of 108, 538, 482, 610, 548

1. What is the LCM of 830, 197, 434, 862, 312?

Answer: LCM of 830, 197, 434, 862, 312 is 2385645564120.

2. How to calculate the LCM of 830, 197, 434, 862, 312?

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 830, 197, 434, 862, 312.

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}.