Given numbers are 103,154,253,330,214

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

The LCM of 103,154,253,330,214 is 585545730.

Find LCM of 103,154,253,330,214 with Prime Factorization

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

2 x 11 x 103 x 7 x 23 x 15 x 107 = 585545730

Therefore, the lowest common multiple of 103,154,253,330,214 is 585545730.

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.

103 x 154 x 253 x 330 x 214 = 283404133320

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.

103 : 1, 103

154 : 1, 2, 7, 11, 14, 22, 77, 154

253 : 1, 11, 23, 253

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,154,253,330,214, is 1.

Now, the common factors can be found like this.

103:103

154:2x 7x 11

253:11x 23

330:2x 3x 5x 11

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 2x 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 283404133320/(1x484)

LCM = 283404133320/484

LCM = 585545730

Thus, we can understand that the LCM of 103,154,253,330,214 is 585545730.

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

• LCM of 296, 127, 300, 480, 439
• LCM of 918, 292, 578, 644, 627
• LCM of 138, 897, 695, 735, 596
• LCM of 453, 718, 123, 138, 945
• LCM of 954, 895, 529, 413, 192

1. What is the LCM of 103, 154, 253, 330, 214?

Answer: LCM of 103, 154, 253, 330, 214 is 585545730.

2. How to calculate the LCM of 103, 154, 253, 330, 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 103, 154, 253, 330, 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}.