Given numbers are 728,544,836,292

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

The LCM of 728,544,836,292 is 755282528.

Find LCM of 728,544,836,292 with Prime Factorization

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

2 x 2 x 2 x 91 x 68 x 209 x 73 = 755282528

Therefore, the lowest common multiple of 728,544,836,292 is 755282528.

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.

728 x 544 x 836 x 292 = 96676163584

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,544,836,292, is 4.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

544:2x 2x 2x 2x 2x 17

836:2x 2x 11x 19

292:2x 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 2 = 32

Therefore, the value for common factors is 32.

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 = 96676163584/(4x32)

LCM = 96676163584/128

LCM = 755282528

Thus, we can understand that the LCM of 728,544,836,292 is 755282528.

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

• LCM of 285, 670, 974, 217
• LCM of 194, 673, 689, 581
• LCM of 270, 476, 232, 176
• LCM of 166, 425, 924, 986
• LCM of 823, 294, 280, 442

1. What is the LCM of 728, 544, 836, 292?

Answer: LCM of 728, 544, 836, 292 is 755282528.

2. How to calculate the LCM of 728, 544, 836, 292?

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 728, 544, 836, 292.

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}.