Given numbers are 546,756,917,204

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

The LCM of 546,756,917,204 is 21886956.

Find LCM of 546,756,917,204 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 9 x 131 x 17 = 21886956

Therefore, the lowest common multiple of 546,756,917,204 is 21886956.

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.

546 x 756 x 917 x 204 = 77217180768

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.

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

917 : 1, 7, 131, 917

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,756,917,204, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

756:2x 2x 3x 3x 3x 7

917:7x 131

204:2x 2x 3x 17

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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 77217180768/(1x3528)

LCM = 77217180768/3528

LCM = 21886956

Thus, we can understand that the LCM of 546,756,917,204 is 21886956.

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

• LCM of 840, 517, 958, 491
• LCM of 375, 279, 125, 962
• LCM of 603, 771, 563, 561
• LCM of 183, 960, 469, 858
• LCM of 170, 188, 999, 825

1. What is the LCM of 546, 756, 917, 204?

Answer: LCM of 546, 756, 917, 204 is 21886956.

2. How to calculate the LCM of 546, 756, 917, 204?

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 546, 756, 917, 204.

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}.