Given numbers are 309,133,121,228

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

The LCM of 309,133,121,228 is 19890948.

Find LCM of 309,133,121,228 with Prime Factorization

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

3 x 19 x 103 x 7 x 121 x 4 = 19890948

Therefore, the lowest common multiple of 309,133,121,228 is 19890948.

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.

309 x 133 x 121 x 228 = 1133784036

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.

309 : 1, 3, 103, 309

133 : 1, 7, 19, 133

121 : 1, 11, 121

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,133,121,228, is 1.

Now, the common factors can be found like this.

309:3x 103

133:7x 19

121:11x 11

228:2x 2x 3x 19

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 1133784036/(1x57)

LCM = 1133784036/57

LCM = 19890948

Thus, we can understand that the LCM of 309,133,121,228 is 19890948.

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

• LCM of 853, 781, 783, 832
• LCM of 242, 963, 213, 227
• LCM of 498, 568, 889, 488
• LCM of 795, 329, 465, 908
• LCM of 684, 283, 490, 834

1. What is the LCM of 309, 133, 121, 228?

Answer: LCM of 309, 133, 121, 228 is 19890948.

2. How to calculate the LCM of 309, 133, 121, 228?

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 309, 133, 121, 228.

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}.