Given numbers are 400,167,858,243,874

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

The LCM of 400,167,858,243,874 is 1014378908400.

Find LCM of 400,167,858,243,874 with Prime Factorization

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

2 x 3 x 200 x 167 x 143 x 81 x 437 = 1014378908400

Therefore, the lowest common multiple of 400,167,858,243,874 is 1014378908400.

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.

400 x 167 x 858 x 243 x 874 = 12172546900800

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

167 : 1, 167

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

243 : 1, 3, 9, 27, 81, 243

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,167,858,243,874, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

167:167

858:2x 3x 11x 13

243:3x 3x 3x 3x 3

874:2x 19x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 12172546900800/(1x12)

LCM = 12172546900800/12

LCM = 1014378908400

Thus, we can understand that the LCM of 400,167,858,243,874 is 1014378908400.

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

• LCM of 980, 925, 819, 744, 369
• LCM of 814, 836, 384, 341, 726
• LCM of 708, 578, 940, 522, 695
• LCM of 792, 400, 696, 924, 601
• LCM of 937, 884, 314, 252, 829

1. What is the LCM of 400, 167, 858, 243, 874?

Answer: LCM of 400, 167, 858, 243, 874 is 1014378908400.

2. How to calculate the LCM of 400, 167, 858, 243, 874?

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 400, 167, 858, 243, 874.

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}.