Given numbers are 828,546,972,684,774

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

The LCM of 828,546,972,684,774 is 1662101532.

Find LCM of 828,546,972,684,774 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 91 x 27 x 19 x 43 = 1662101532

Therefore, the lowest common multiple of 828,546,972,684,774 is 1662101532.

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.

828 x 546 x 972 x 684 x 774 = 232641027230976

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,546,972,684,774, is 6.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

546:2x 3x 7x 13

972:2x 2x 3x 3x 3x 3x 3

684:2x 2x 3x 3x 19

774:2x 3x 3x 43

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 3x 3x 3x 3 = 23328

Therefore, the value for common factors is 23328.

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 = 232641027230976/(6x23328)

LCM = 232641027230976/139968

LCM = 1662101532

Thus, we can understand that the LCM of 828,546,972,684,774 is 1662101532.

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

• LCM of 542, 722, 937, 962, 849
• LCM of 527, 323, 897, 586, 688
• LCM of 881, 101, 719, 383, 568
• LCM of 544, 420, 514, 870, 765
• LCM of 986, 538, 900, 192, 170

1. What is the LCM of 828, 546, 972, 684, 774?

Answer: LCM of 828, 546, 972, 684, 774 is 1662101532.

2. How to calculate the LCM of 828, 546, 972, 684, 774?

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 828, 546, 972, 684, 774.

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}.