Given numbers are 455,118,124,236,306

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

The LCM of 455,118,124,236,306 is 509303340.

Find LCM of 455,118,124,236,306 with Prime Factorization

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

2 x 2 x 59 x 455 x 1 x 31 x 1 x 153 = 509303340

Therefore, the lowest common multiple of 455,118,124,236,306 is 509303340.

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.

455 x 118 x 124 x 236 x 306 = 480782352960

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

118 : 1, 2, 59, 118

124 : 1, 2, 4, 31, 62, 124

236 : 1, 2, 4, 59, 118, 236

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,118,124,236,306, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

118:2x 59

124:2x 2x 31

236:2x 2x 59

306:2x 3x 3x 17

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 2x 2x 59 = 944

Therefore, the value for common factors is 944.

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 = 480782352960/(1x944)

LCM = 480782352960/944

LCM = 509303340

Thus, we can understand that the LCM of 455,118,124,236,306 is 509303340.

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

• LCM of 829, 311, 246, 941, 730
• LCM of 627, 509, 131, 672, 176
• LCM of 614, 764, 116, 139, 122
• LCM of 336, 622, 634, 654, 444
• LCM of 706, 507, 520, 341, 593

1. What is the LCM of 455, 118, 124, 236, 306?

Answer: LCM of 455, 118, 124, 236, 306 is 509303340.

2. How to calculate the LCM of 455, 118, 124, 236, 306?

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 455, 118, 124, 236, 306.

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}.