Given numbers are 738,169,188,146,286

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

The LCM of 738,169,188,146,286 is 9414266004.

Find LCM of 738,169,188,146,286 with Prime Factorization

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

2 x 13 x 369 x 13 x 94 x 73 x 11 = 9414266004

Therefore, the lowest common multiple of 738,169,188,146,286 is 9414266004.

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.

738 x 169 x 188 x 146 x 286 = 979083664416

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

169 : 1, 13, 169

188 : 1, 2, 4, 47, 94, 188

146 : 1, 2, 73, 146

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,169,188,146,286, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

169:13x 13

188:2x 2x 47

146:2x 73

286:2x 11x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 979083664416/(1x104)

LCM = 979083664416/104

LCM = 9414266004

Thus, we can understand that the LCM of 738,169,188,146,286 is 9414266004.

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

• LCM of 549, 904, 309, 334, 521
• LCM of 852, 759, 209, 647, 101
• LCM of 449, 995, 727, 991, 802
• LCM of 782, 401, 118, 824, 865
• LCM of 639, 506, 306, 487, 899

1. What is the LCM of 738, 169, 188, 146, 286?

Answer: LCM of 738, 169, 188, 146, 286 is 9414266004.

2. How to calculate the LCM of 738, 169, 188, 146, 286?

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 738, 169, 188, 146, 286.

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}.