Given numbers are 306,128,158,112,210

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

The LCM of 306,128,158,112,210 is 54149760.

Find LCM of 306,128,158,112,210 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 51 x 8 x 79 x 1 x 5 = 54149760

Therefore, the lowest common multiple of 306,128,158,112,210 is 54149760.

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.

306 x 128 x 158 x 112 x 210 = 145554554880

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.

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

158 : 1, 2, 79, 158

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,128,158,112,210, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

128:2x 2x 2x 2x 2x 2x 2

158:2x 79

112:2x 2x 2x 2x 7

210:2x 3x 5x 7

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 2x 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 145554554880/(2x1344)

LCM = 145554554880/2688

LCM = 54149760

Thus, we can understand that the LCM of 306,128,158,112,210 is 54149760.

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

• LCM of 522, 410, 762, 608, 433
• LCM of 651, 256, 957, 465, 544
• LCM of 894, 326, 545, 485, 604
• LCM of 841, 813, 488, 792, 980
• LCM of 606, 654, 451, 855, 948

1. What is the LCM of 306, 128, 158, 112, 210?

Answer: LCM of 306, 128, 158, 112, 210 is 54149760.

2. How to calculate the LCM of 306, 128, 158, 112, 210?

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 306, 128, 158, 112, 210.

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}.