Given numbers are 302,208,149,423,114

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

The LCM of 302,208,149,423,114 is 37611488304.

Find LCM of 302,208,149,423,114 with Prime Factorization

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

2 x 3 x 151 x 104 x 149 x 141 x 19 = 37611488304

Therefore, the lowest common multiple of 302,208,149,423,114 is 37611488304.

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.

302 x 208 x 149 x 423 x 114 = 451337859648

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.

302 : 1, 2, 151, 302

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

149 : 1, 149

423 : 1, 3, 9, 47, 141, 423

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,208,149,423,114, is 1.

Now, the common factors can be found like this.

302:2x 151

208:2x 2x 2x 2x 13

149:149

423:3x 3x 47

114:2x 3x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 451337859648/(1x12)

LCM = 451337859648/12

LCM = 37611488304

Thus, we can understand that the LCM of 302,208,149,423,114 is 37611488304.

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

• LCM of 416, 882, 819, 314, 372
• LCM of 983, 960, 335, 340, 524
• LCM of 131, 824, 852, 329, 694
• LCM of 773, 849, 676, 299, 601
• LCM of 361, 565, 491, 239, 399

1. What is the LCM of 302, 208, 149, 423, 114?

Answer: LCM of 302, 208, 149, 423, 114 is 37611488304.

2. How to calculate the LCM of 302, 208, 149, 423, 114?

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 302, 208, 149, 423, 114.

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}.