Given numbers are 830,936,735,385,242

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

The LCM of 830,936,735,385,242 is 2303060760.

Find LCM of 830,936,735,385,242 with Prime Factorization

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

2 x 3 x 5 x 7 x 11 x 83 x 156 x 7 x 1 x 11 = 2303060760

Therefore, the lowest common multiple of 830,936,735,385,242 is 2303060760.

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 936 x 735 x 385 x 242 = 53200703556000

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

385 : 1, 5, 7, 11, 35, 55, 77, 385

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,936,735,385,242, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

936:2x 2x 2x 3x 3x 13

735:3x 5x 7x 7

385:5x 7x 11

242:2x 11x 11

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 3x 5x 5x 7x 11 = 23100

Therefore, the value for common factors is 23100.

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 = 53200703556000/(1x23100)

LCM = 53200703556000/23100

LCM = 2303060760

Thus, we can understand that the LCM of 830,936,735,385,242 is 2303060760.

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

• LCM of 888, 649, 512, 372, 492
• LCM of 813, 805, 301, 122, 828
• LCM of 916, 352, 314, 998, 114
• LCM of 682, 475, 325, 144, 923
• LCM of 750, 611, 179, 251, 773

1. What is the LCM of 830, 936, 735, 385, 242?

Answer: LCM of 830, 936, 735, 385, 242 is 2303060760.

2. How to calculate the LCM of 830, 936, 735, 385, 242?

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, 936, 735, 385, 242.

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}.