Given numbers are 756,830,230,610,241

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

The LCM of 756,830,230,610,241 is 106082710020.

Find LCM of 756,830,230,610,241 with Prime Factorization

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

2 x 5 x 378 x 83 x 23 x 61 x 241 = 106082710020

Therefore, the lowest common multiple of 756,830,230,610,241 is 106082710020.

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.

756 x 830 x 230 x 610 x 241 = 21216542004000

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,830,230,610,241, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

830:2x 5x 83

230:2x 5x 23

610:2x 5x 61

241:241

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 21216542004000/(1x200)

LCM = 21216542004000/200

LCM = 106082710020

Thus, we can understand that the LCM of 756,830,230,610,241 is 106082710020.

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

• LCM of 599, 912, 234, 371, 437
• LCM of 239, 225, 375, 880, 641
• LCM of 587, 639, 998, 162, 322
• LCM of 504, 333, 686, 482, 536
• LCM of 572, 652, 104, 283, 564

1. What is the LCM of 756, 830, 230, 610, 241?

Answer: LCM of 756, 830, 230, 610, 241 is 106082710020.

2. How to calculate the LCM of 756, 830, 230, 610, 241?

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 756, 830, 230, 610, 241.

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}.