Given numbers are 728,276,312,429,247

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

The LCM of 728,276,312,429,247 is 10498488.

Find LCM of 728,276,312,429,247 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 7 x 23 x 1 x 11 x 19 = 10498488

Therefore, the lowest common multiple of 728,276,312,429,247 is 10498488.

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 276 x 312 x 429 x 247 = 6642771303168

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

429 : 1, 3, 11, 13, 33, 39, 143, 429

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,276,312,429,247, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

276:2x 2x 3x 23

312:2x 2x 2x 3x 13

429:3x 11x 13

247:13x 19

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 2x 3x 3x 13x 13x 13 = 632736

Therefore, the value for common factors is 632736.

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 = 6642771303168/(1x632736)

LCM = 6642771303168/632736

LCM = 10498488

Thus, we can understand that the LCM of 728,276,312,429,247 is 10498488.

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

• LCM of 913, 437, 944, 168, 917
• LCM of 347, 787, 533, 684, 862
• LCM of 561, 544, 796, 171, 505
• LCM of 114, 751, 329, 447, 981
• LCM of 207, 897, 658, 148, 395

1. What is the LCM of 728, 276, 312, 429, 247?

Answer: LCM of 728, 276, 312, 429, 247 is 10498488.

2. How to calculate the LCM of 728, 276, 312, 429, 247?

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, 276, 312, 429, 247.

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}.