Given numbers are 854,71,189

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

The LCM of 854,71,189 is 1637118.

Find LCM of 854,71,189 with Prime Factorization

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

7 x 122 x 71 x 27 = 1637118

Therefore, the lowest common multiple of 854,71,189 is 1637118.

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.

854 x 71 x 189 = 11459826

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

71 : 1, 71

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,71,189, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

71:71

189:3x 3x 3x 7

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

7 = 7

Therefore, the value for common factors is 7.

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 = 11459826/(1x7)

LCM = 11459826/7

LCM = 1637118

Thus, we can understand that the LCM of 854,71,189 is 1637118.

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

• LCM of 930, 51, 392
• LCM of 353, 79, 242
• LCM of 290, 59, 223
• LCM of 615, 36, 920
• LCM of 308, 42, 358

1. What is the LCM of 854, 71, 189?

Answer: LCM of 854, 71, 189 is 1637118.

2. How to calculate the LCM of 854, 71, 189?

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 854, 71, 189.

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}.