Given numbers are 969,789,228

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

The LCM of 969,789,228 is 1019388.

Find LCM of 969,789,228 with Prime Factorization

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

3 x 19 x 17 x 263 x 4 = 1019388

Therefore, the lowest common multiple of 969,789,228 is 1019388.

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.

969 x 789 x 228 = 174315348

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

789 : 1, 3, 263, 789

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,789,228, is 3.

Now, the common factors can be found like this.

969:3x 17x 19

789:3x 263

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 = 174315348/(3x57)

LCM = 174315348/171

LCM = 1019388

Thus, we can understand that the LCM of 969,789,228 is 1019388.

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

• LCM of 121, 553, 816
• LCM of 479, 351, 861
• LCM of 755, 421, 452
• LCM of 760, 887, 877
• LCM of 586, 420, 661

1. What is the LCM of 969, 789, 228?

Answer: LCM of 969, 789, 228 is 1019388.

2. How to calculate the LCM of 969, 789, 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 969, 789, 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}.