Given numbers are 230,678,292,992,677

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

The LCM of 230,678,292,992,677 is 1911264263520.

Find LCM of 230,678,292,992,677 with Prime Factorization

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

2 x 2 x 115 x 339 x 73 x 248 x 677 = 1911264263520

Therefore, the lowest common multiple of 230,678,292,992,677 is 1911264263520.

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.

230 x 678 x 292 x 992 x 677 = 30580228216320

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

678 : 1, 2, 3, 6, 113, 226, 339, 678

292 : 1, 2, 4, 73, 146, 292

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,678,292,992,677, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

678:2x 3x 113

292:2x 2x 73

992:2x 2x 2x 2x 2x 31

677:677

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 2 = 16

Therefore, the value for common factors is 16.

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 = 30580228216320/(1x16)

LCM = 30580228216320/16

LCM = 1911264263520

Thus, we can understand that the LCM of 230,678,292,992,677 is 1911264263520.

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

• LCM of 345, 811, 734, 770, 376
• LCM of 598, 315, 379, 587, 887
• LCM of 960, 337, 536, 613, 557
• LCM of 182, 670, 231, 910, 549
• LCM of 196, 836, 803, 402, 622

1. What is the LCM of 230, 678, 292, 992, 677?

Answer: LCM of 230, 678, 292, 992, 677 is 1911264263520.

2. How to calculate the LCM of 230, 678, 292, 992, 677?

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 230, 678, 292, 992, 677.

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}.