Given numbers are 828,939,305,118

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

The LCM of 828,939,305,118 is 4663656180.

Find LCM of 828,939,305,118 with Prime Factorization

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

2 x 3 x 138 x 313 x 305 x 59 = 4663656180

Therefore, the lowest common multiple of 828,939,305,118 is 4663656180.

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.

828 x 939 x 305 x 118 = 27981937080

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

939 : 1, 3, 313, 939

305 : 1, 5, 61, 305

118 : 1, 2, 59, 118

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,939,305,118, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

939:3x 313

305:5x 61

118:2x 59

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 = 27981937080/(1x6)

LCM = 27981937080/6

LCM = 4663656180

Thus, we can understand that the LCM of 828,939,305,118 is 4663656180.

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

• LCM of 474, 269, 823, 100
• LCM of 714, 821, 171, 380
• LCM of 561, 109, 229, 233
• LCM of 589, 826, 559, 371
• LCM of 395, 905, 210, 945

1. What is the LCM of 828, 939, 305, 118?

Answer: LCM of 828, 939, 305, 118 is 4663656180.

2. How to calculate the LCM of 828, 939, 305, 118?

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 828, 939, 305, 118.

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}.