Given numbers are 189,49,271

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

The LCM of 189,49,271 is 358533.

Find LCM of 189,49,271 with Prime Factorization

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

7 x 27 x 7 x 271 = 358533

Therefore, the lowest common multiple of 189,49,271 is 358533.

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.

189 x 49 x 271 = 2509731

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.

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

49 : 1, 7, 49

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,49,271, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

49:7x 7

271:271

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 = 2509731/(1x7)

LCM = 2509731/7

LCM = 358533

Thus, we can understand that the LCM of 189,49,271 is 358533.

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

• LCM of 488, 45, 157
• LCM of 303, 20, 189
• LCM of 291, 86, 661
• LCM of 840, 96, 973
• LCM of 739, 32, 598

1. What is the LCM of 189, 49, 271?

Answer: LCM of 189, 49, 271 is 358533.

2. How to calculate the LCM of 189, 49, 271?

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 189, 49, 271.

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}.