Given numbers are 363,121,169,814

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

The LCM of 363,121,169,814 is 4539678.

Find LCM of 363,121,169,814 with Prime Factorization

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

11 x 11 x 3 x 1 x 169 x 74 = 4539678

Therefore, the lowest common multiple of 363,121,169,814 is 4539678.

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.

363 x 121 x 169 x 814 = 6042311418

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.

363 : 1, 3, 11, 33, 121, 363

121 : 1, 11, 121

169 : 1, 13, 169

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,121,169,814, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

121:11x 11

169:13x 13

814:2x 11x 37

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

11x 11x 11 = 1331

Therefore, the value for common factors is 1331.

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 = 6042311418/(1x1331)

LCM = 6042311418/1331

LCM = 4539678

Thus, we can understand that the LCM of 363,121,169,814 is 4539678.

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

• LCM of 109, 946, 862, 756
• LCM of 919, 888, 315, 613
• LCM of 340, 848, 887, 852
• LCM of 481, 937, 598, 256
• LCM of 536, 498, 945, 836

1. What is the LCM of 363, 121, 169, 814?

Answer: LCM of 363, 121, 169, 814 is 4539678.

2. How to calculate the LCM of 363, 121, 169, 814?

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 363, 121, 169, 814.

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}.