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LCM of 923, 739, 726, 898, 358

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


Find the LCM of 923, 739, 726, 898, 358 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 923, 739, 726, 898, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,739,726,898,358

Given numbers are 923,739,726,898,358

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

The LCM of 923,739,726,898,358 is 39799913858562.

Find LCM of 923,739,726,898,358 with Prime Factorization


2 923, 739, 726, 898, 358
923, 739, 363, 449, 179

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

2 x 923 x 739 x 363 x 449 x 179 = 39799913858562

Therefore, the lowest common multiple of 923,739,726,898,358 is 39799913858562.

LCM Formula to Find Lowest Common Multiple of 923,739,726,898,358

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.

923 x 739 x 726 x 898 x 358 = 159199655434248

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.

923 : 1, 13, 71, 923

739 : 1, 739

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

898 : 1, 2, 449, 898

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,739,726,898,358, is 1.

Now, the common factors can be found like this.

923:13x 71

739:739

726:2x 3x 11x 11

898:2x 449

358:2x 179

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 = 159199655434248/(1x4)

LCM = 159199655434248/4

LCM = 39799913858562

Thus, we can understand that the LCM of 923,739,726,898,358 is 39799913858562.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 739, 726, 898, 358

1. What is the LCM of 923, 739, 726, 898, 358?

Answer: LCM of 923, 739, 726, 898, 358 is 39799913858562.

2. How to calculate the LCM of 923, 739, 726, 898, 358?

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 923, 739, 726, 898, 358.

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}.