Given numbers are 243,194,610,286,672

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

The LCM of 243,194,610,286,672 is 230283012960.

Find LCM of 243,194,610,286,672 with Prime Factorization

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

2 x 3 x 81 x 97 x 305 x 143 x 112 = 230283012960

Therefore, the lowest common multiple of 243,194,610,286,672 is 230283012960.

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.

243 x 194 x 610 x 286 x 672 = 5526792311040

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.

243 : 1, 3, 9, 27, 81, 243

194 : 1, 2, 97, 194

610 : 1, 2, 5, 10, 61, 122, 305, 610

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,194,610,286,672, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

194:2x 97

610:2x 5x 61

286:2x 11x 13

672:2x 2x 2x 2x 2x 3x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 5526792311040/(1x24)

LCM = 5526792311040/24

LCM = 230283012960

Thus, we can understand that the LCM of 243,194,610,286,672 is 230283012960.

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

• LCM of 818, 593, 373, 942, 987
• LCM of 747, 716, 752, 716, 891
• LCM of 400, 773, 331, 285, 703
• LCM of 234, 655, 524, 860, 804
• LCM of 794, 303, 870, 256, 463

1. What is the LCM of 243, 194, 610, 286, 672?

Answer: LCM of 243, 194, 610, 286, 672 is 230283012960.

2. How to calculate the LCM of 243, 194, 610, 286, 672?

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 243, 194, 610, 286, 672.

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}.