Given numbers are 161,187,214,294

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

The LCM of 161,187,214,294 is 135300858.

Find LCM of 161,187,214,294 with Prime Factorization

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

2 x 7 x 23 x 187 x 107 x 21 = 135300858

Therefore, the lowest common multiple of 161,187,214,294 is 135300858.

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.

161 x 187 x 214 x 294 = 1894212012

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.

161 : 1, 7, 23, 161

187 : 1, 11, 17, 187

214 : 1, 2, 107, 214

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,187,214,294, is 1.

Now, the common factors can be found like this.

161:7x 23

187:11x 17

214:2x 107

294:2x 3x 7x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 1894212012/(1x14)

LCM = 1894212012/14

LCM = 135300858

Thus, we can understand that the LCM of 161,187,214,294 is 135300858.

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

• LCM of 388, 519, 899, 158
• LCM of 100, 990, 454, 675
• LCM of 386, 909, 895, 391
• LCM of 966, 822, 112, 108
• LCM of 776, 840, 514, 401

1. What is the LCM of 161, 187, 214, 294?

Answer: LCM of 161, 187, 214, 294 is 135300858.

2. How to calculate the LCM of 161, 187, 214, 294?

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 161, 187, 214, 294.

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}.