Given numbers are 260,107,161,641,214

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

The LCM of 260,107,161,641,214 is 2871051820.

Find LCM of 260,107,161,641,214 with Prime Factorization

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

2 x 107 x 130 x 1 x 161 x 641 x 1 = 2871051820

Therefore, the lowest common multiple of 260,107,161,641,214 is 2871051820.

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.

260 x 107 x 161 x 641 x 214 = 614405089480

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

107 : 1, 107

161 : 1, 7, 23, 161

641 : 1, 641

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,107,161,641,214, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

107:107

161:7x 23

641:641

214:2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 614405089480/(1x214)

LCM = 614405089480/214

LCM = 2871051820

Thus, we can understand that the LCM of 260,107,161,641,214 is 2871051820.

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

• LCM of 457, 994, 579, 835, 640
• LCM of 188, 968, 224, 203, 263
• LCM of 856, 220, 929, 424, 692
• LCM of 526, 154, 920, 270, 246
• LCM of 440, 171, 136, 385, 202

1. What is the LCM of 260, 107, 161, 641, 214?

Answer: LCM of 260, 107, 161, 641, 214 is 2871051820.

2. How to calculate the LCM of 260, 107, 161, 641, 214?

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 260, 107, 161, 641, 214.

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}.