Given numbers are 897,214,406,326,241

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

The LCM of 897,214,406,326,241 is 1530759281142.

Find LCM of 897,214,406,326,241 with Prime Factorization

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

2 x 897 x 107 x 203 x 163 x 241 = 1530759281142

Therefore, the lowest common multiple of 897,214,406,326,241 is 1530759281142.

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.

897 x 214 x 406 x 326 x 241 = 6123037124568

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.

897 : 1, 3, 13, 23, 39, 69, 299, 897

214 : 1, 2, 107, 214

406 : 1, 2, 7, 14, 29, 58, 203, 406

326 : 1, 2, 163, 326

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,214,406,326,241, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

214:2x 107

406:2x 7x 29

326:2x 163

241:241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6123037124568/(1x4)

LCM = 6123037124568/4

LCM = 1530759281142

Thus, we can understand that the LCM of 897,214,406,326,241 is 1530759281142.

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

• LCM of 846, 108, 969, 492, 149
• LCM of 971, 400, 613, 516, 681
• LCM of 825, 273, 562, 688, 492
• LCM of 667, 651, 197, 158, 819
• LCM of 666, 169, 846, 952, 610

1. What is the LCM of 897, 214, 406, 326, 241?

Answer: LCM of 897, 214, 406, 326, 241 is 1530759281142.

2. How to calculate the LCM of 897, 214, 406, 326, 241?

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 897, 214, 406, 326, 241.

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}.