Given numbers are 230,382,746,677

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

The LCM of 230,382,746,677 is 11093247530.

Find LCM of 230,382,746,677 with Prime Factorization

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

2 x 115 x 191 x 373 x 677 = 11093247530

Therefore, the lowest common multiple of 230,382,746,677 is 11093247530.

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 382 x 746 x 677 = 44372990120

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

382 : 1, 2, 191, 382

746 : 1, 2, 373, 746

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,382,746,677, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

382:2x 191

746:2x 373

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 2 = 4

Therefore, the value for common factors is 4.

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 = 44372990120/(1x4)

LCM = 44372990120/4

LCM = 11093247530

Thus, we can understand that the LCM of 230,382,746,677 is 11093247530.

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

• LCM of 302, 532, 472, 284
• LCM of 503, 581, 252, 742
• LCM of 617, 953, 621, 888
• LCM of 160, 634, 571, 434
• LCM of 233, 416, 787, 885

1. What is the LCM of 230, 382, 746, 677?

Answer: LCM of 230, 382, 746, 677 is 11093247530.

2. How to calculate the LCM of 230, 382, 746, 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, 382, 746, 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}.