Given numbers are 378,121,946,907,406

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

The LCM of 378,121,946,907,406 is 51731004402.

Find LCM of 378,121,946,907,406 with Prime Factorization

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

2 x 7 x 11 x 27 x 11 x 43 x 907 x 29 = 51731004402

Therefore, the lowest common multiple of 378,121,946,907,406 is 51731004402.

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 121 x 946 x 907 x 406 = 15933149355816

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

121 : 1, 11, 121

946 : 1, 2, 11, 22, 43, 86, 473, 946

907 : 1, 907

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,121,946,907,406, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

121:11x 11

946:2x 11x 43

907:907

406:2x 7x 29

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 15933149355816/(1x308)

LCM = 15933149355816/308

LCM = 51731004402

Thus, we can understand that the LCM of 378,121,946,907,406 is 51731004402.

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

• LCM of 951, 574, 796, 692, 623
• LCM of 440, 447, 673, 689, 355
• LCM of 668, 949, 641, 152, 312
• LCM of 112, 112, 785, 430, 723
• LCM of 457, 237, 978, 780, 437

1. What is the LCM of 378, 121, 946, 907, 406?

Answer: LCM of 378, 121, 946, 907, 406 is 51731004402.

2. How to calculate the LCM of 378, 121, 946, 907, 406?

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, 121, 946, 907, 406.

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}.