Given numbers are 874,133,401,646

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

The LCM of 874,133,401,646 is 41706406.

Find LCM of 874,133,401,646 with Prime Factorization

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

2 x 19 x 23 x 7 x 401 x 17 = 41706406

Therefore, the lowest common multiple of 874,133,401,646 is 41706406.

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.

874 x 133 x 401 x 646 = 30112025132

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.

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

133 : 1, 7, 19, 133

401 : 1, 401

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,133,401,646, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

133:7x 19

401:401

646:2x 17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19x 19 = 722

Therefore, the value for common factors is 722.

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 = 30112025132/(1x722)

LCM = 30112025132/722

LCM = 41706406

Thus, we can understand that the LCM of 874,133,401,646 is 41706406.

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

• LCM of 488, 268, 345, 853
• LCM of 572, 303, 948, 321
• LCM of 551, 243, 610, 730
• LCM of 591, 317, 533, 881
• LCM of 585, 576, 544, 260

1. What is the LCM of 874, 133, 401, 646?

Answer: LCM of 874, 133, 401, 646 is 41706406.

2. How to calculate the LCM of 874, 133, 401, 646?

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 874, 133, 401, 646.

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}.