Given numbers are 263,148,142,214

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

The LCM of 263,148,142,214 is 295705628.

Find LCM of 263,148,142,214 with Prime Factorization

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

2 x 263 x 74 x 71 x 107 = 295705628

Therefore, the lowest common multiple of 263,148,142,214 is 295705628.

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.

263 x 148 x 142 x 214 = 1182822512

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.

263 : 1, 263

148 : 1, 2, 4, 37, 74, 148

142 : 1, 2, 71, 142

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,148,142,214, is 1.

Now, the common factors can be found like this.

263:263

148:2x 2x 37

142:2x 71

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 2 = 4

Therefore, the value for common factors is 4.

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 = 1182822512/(1x4)

LCM = 1182822512/4

LCM = 295705628

Thus, we can understand that the LCM of 263,148,142,214 is 295705628.

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

• LCM of 384, 368, 297, 766
• LCM of 698, 186, 601, 591
• LCM of 315, 183, 673, 987
• LCM of 138, 917, 685, 338
• LCM of 453, 234, 620, 939

1. What is the LCM of 263, 148, 142, 214?

Answer: LCM of 263, 148, 142, 214 is 295705628.

2. How to calculate the LCM of 263, 148, 142, 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 263, 148, 142, 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}.