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LCM of 897, 182, 437, 395

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 897, 182, 437, 395 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 897, 182, 437, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,182,437,395

Given numbers are 897,182,437,395

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

The LCM of 897,182,437,395 is 94247790.

Find LCM of 897,182,437,395 with Prime Factorization


13 897, 182, 437, 395
23 69, 14, 437, 395
3, 14, 19, 395

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

13 x 23 x 3 x 14 x 19 x 395 = 94247790

Therefore, the lowest common multiple of 897,182,437,395 is 94247790.

LCM Formula to Find Lowest Common Multiple of 897,182,437,395

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 182 x 437 x 395 = 28180089210

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

437 : 1, 19, 23, 437

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,182,437,395, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

182:2x 7x 13

437:19x 23

395:5x 79

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

13x 23 = 299

Therefore, the value for common factors is 299.

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 = 28180089210/(1x299)

LCM = 28180089210/299

LCM = 94247790

Thus, we can understand that the LCM of 897,182,437,395 is 94247790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 182, 437, 395

1. What is the LCM of 897, 182, 437, 395?

Answer: LCM of 897, 182, 437, 395 is 94247790.

2. How to calculate the LCM of 897, 182, 437, 395?

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, 182, 437, 395.

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}.