Given numbers are 378,954,543,816,126

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

The LCM of 378,954,543,816,126 is 493156944.

Find LCM of 378,954,543,816,126 with Prime Factorization

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

2 x 3 x 3 x 7 x 1 x 53 x 181 x 136 x 3 = 493156944

Therefore, the lowest common multiple of 378,954,543,816,126 is 493156944.

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 954 x 543 x 816 x 126 = 20132639081856

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

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

543 : 1, 3, 181, 543

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,954,543,816,126, is 3.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

954:2x 3x 3x 53

543:3x 181

816:2x 2x 2x 2x 3x 17

126:2x 3x 3x 7

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 3x 3x 3x 7 = 13608

Therefore, the value for common factors is 13608.

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 = 20132639081856/(3x13608)

LCM = 20132639081856/40824

LCM = 493156944

Thus, we can understand that the LCM of 378,954,543,816,126 is 493156944.

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

• LCM of 849, 911, 208, 303, 889
• LCM of 215, 254, 980, 942, 128
• LCM of 220, 164, 394, 785, 257
• LCM of 132, 713, 388, 260, 381
• LCM of 243, 951, 811, 552, 859

1. What is the LCM of 378, 954, 543, 816, 126?

Answer: LCM of 378, 954, 543, 816, 126 is 493156944.

2. How to calculate the LCM of 378, 954, 543, 816, 126?

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, 954, 543, 816, 126.

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}.