Given numbers are 730,242,292,291,584

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

The LCM of 730,242,292,291,584 is 102816120.

Find LCM of 730,242,292,291,584 with Prime Factorization

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

2 x 2 x 73 x 5 x 121 x 1 x 291 x 2 = 102816120

Therefore, the lowest common multiple of 730,242,292,291,584 is 102816120.

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.

730 x 242 x 292 x 291 x 584 = 8766513655680

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

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

291 : 1, 3, 97, 291

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,242,292,291,584, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

242:2x 11x 11

292:2x 2x 73

291:3x 97

584:2x 2x 2x 73

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 2x 73x 73 = 85264

Therefore, the value for common factors is 85264.

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 = 8766513655680/(1x85264)

LCM = 8766513655680/85264

LCM = 102816120

Thus, we can understand that the LCM of 730,242,292,291,584 is 102816120.

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

• LCM of 496, 496, 923, 729, 798
• LCM of 495, 279, 483, 500, 496
• LCM of 532, 161, 587, 108, 688
• LCM of 443, 934, 119, 960, 412
• LCM of 415, 867, 343, 919, 175

1. What is the LCM of 730, 242, 292, 291, 584?

Answer: LCM of 730, 242, 292, 291, 584 is 102816120.

2. How to calculate the LCM of 730, 242, 292, 291, 584?

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 730, 242, 292, 291, 584.

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}.