Given numbers are 872,145,121,364

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

The LCM of 872,145,121,364 is 1392230840.

Find LCM of 872,145,121,364 with Prime Factorization

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

2 x 2 x 218 x 145 x 121 x 91 = 1392230840

Therefore, the lowest common multiple of 872,145,121,364 is 1392230840.

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.

872 x 145 x 121 x 364 = 5568923360

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

145 : 1, 5, 29, 145

121 : 1, 11, 121

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,145,121,364, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

145:5x 29

121:11x 11

364:2x 2x 7x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5568923360/(1x4)

LCM = 5568923360/4

LCM = 1392230840

Thus, we can understand that the LCM of 872,145,121,364 is 1392230840.

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

• LCM of 766, 170, 804, 126
• LCM of 137, 676, 894, 834
• LCM of 559, 602, 245, 744
• LCM of 956, 842, 591, 770
• LCM of 266, 750, 106, 296

1. What is the LCM of 872, 145, 121, 364?

Answer: LCM of 872, 145, 121, 364 is 1392230840.

2. How to calculate the LCM of 872, 145, 121, 364?

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 872, 145, 121, 364.

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}.