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LCM of 673, 832, 897, 731

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


Find the LCM of 673, 832, 897, 731 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 673, 832, 897, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 673,832,897,731

Given numbers are 673,832,897,731

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

The LCM of 673,832,897,731 is 28242611904.

Find LCM of 673,832,897,731 with Prime Factorization


13 673, 832, 897, 731
673, 64, 69, 731

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

13 x 673 x 64 x 69 x 731 = 28242611904

Therefore, the lowest common multiple of 673,832,897,731 is 28242611904.

LCM Formula to Find Lowest Common Multiple of 673,832,897,731

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.

673 x 832 x 897 x 731 = 367153954752

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.

673 : 1, 673

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,832,897,731, is 1.

Now, the common factors can be found like this.

673:673

832:2x 2x 2x 2x 2x 2x 13

897:3x 13x 23

731:17x 43

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

13 = 13

Therefore, the value for common factors is 13.

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 = 367153954752/(1x13)

LCM = 367153954752/13

LCM = 28242611904

Thus, we can understand that the LCM of 673,832,897,731 is 28242611904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 673, 832, 897, 731

1. What is the LCM of 673, 832, 897, 731?

Answer: LCM of 673, 832, 897, 731 is 28242611904.

2. How to calculate the LCM of 673, 832, 897, 731?

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 673, 832, 897, 731.

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}.