Given numbers are 378,546,161,336,817

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

The LCM of 378,546,161,336,817 is 738711792.

Find LCM of 378,546,161,336,817 with Prime Factorization

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

2 x 3 x 7 x 9 x 13 x 23 x 8 x 817 = 738711792

Therefore, the lowest common multiple of 378,546,161,336,817 is 738711792.

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.

378 x 546 x 161 x 336 x 817 = 9121613207616

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

161 : 1, 7, 23, 161

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,546,161,336,817, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

546:2x 3x 7x 13

161:7x 23

336:2x 2x 2x 2x 3x 7

817:19x 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 3x 3x 7x 7x 7 = 12348

Therefore, the value for common factors is 12348.

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 = 9121613207616/(1x12348)

LCM = 9121613207616/12348

LCM = 738711792

Thus, we can understand that the LCM of 378,546,161,336,817 is 738711792.

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

• LCM of 160, 998, 562, 224, 923
• LCM of 761, 817, 145, 500, 513
• LCM of 380, 926, 826, 426, 445
• LCM of 872, 398, 483, 795, 868
• LCM of 104, 962, 522, 234, 753

1. What is the LCM of 378, 546, 161, 336, 817?

Answer: LCM of 378, 546, 161, 336, 817 is 738711792.

2. How to calculate the LCM of 378, 546, 161, 336, 817?

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 378, 546, 161, 336, 817.

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}.