Given numbers are 309,214,891,28

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

The LCM of 309,214,891,28 is 274951908.

Find LCM of 309,214,891,28 with Prime Factorization

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

2 x 3 x 103 x 107 x 297 x 14 = 274951908

Therefore, the lowest common multiple of 309,214,891,28 is 274951908.

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 214 x 891 x 28 = 1649711448

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

214 : 1, 2, 107, 214

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

28 : 1, 2, 4, 7, 14, 28

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,214,891,28, is 1.

Now, the common factors can be found like this.

309:3x 103

214:2x 107

891:3x 3x 3x 3x 11

28:2x 2x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1649711448/(1x6)

LCM = 1649711448/6

LCM = 274951908

Thus, we can understand that the LCM of 309,214,891,28 is 274951908.

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

• LCM of 852, 617, 608, 27
• LCM of 749, 727, 684, 73
• LCM of 958, 686, 799, 71
• LCM of 933, 982, 415, 60
• LCM of 679, 901, 498, 58

1. What is the LCM of 309, 214, 891, 28?

Answer: LCM of 309, 214, 891, 28 is 274951908.

2. How to calculate the LCM of 309, 214, 891, 28?

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, 214, 891, 28.

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}.