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LCM of 356, 294, 989, 897

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


Find the LCM of 356, 294, 989, 897 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 356, 294, 989, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 356,294,989,897

Given numbers are 356,294,989,897

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

The LCM of 356,294,989,897 is 672832524.

Find LCM of 356,294,989,897 with Prime Factorization


2 356, 294, 989, 897
3 178, 147, 989, 897
23 178, 49, 989, 299
178, 49, 43, 13

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

2 x 3 x 23 x 178 x 49 x 43 x 13 = 672832524

Therefore, the lowest common multiple of 356,294,989,897 is 672832524.

LCM Formula to Find Lowest Common Multiple of 356,294,989,897

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.

356 x 294 x 989 x 897 = 92850888312

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.

356 : 1, 2, 4, 89, 178, 356

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

989 : 1, 23, 43, 989

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,294,989,897, is 1.

Now, the common factors can be found like this.

356:2x 2x 89

294:2x 3x 7x 7

989:23x 43

897:3x 13x 23

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 92850888312/(1x138)

LCM = 92850888312/138

LCM = 672832524

Thus, we can understand that the LCM of 356,294,989,897 is 672832524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 356, 294, 989, 897

1. What is the LCM of 356, 294, 989, 897?

Answer: LCM of 356, 294, 989, 897 is 672832524.

2. How to calculate the LCM of 356, 294, 989, 897?

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 356, 294, 989, 897.

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}.