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LCM of 457, 898, 973, 325, 986

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


Find the LCM of 457, 898, 973, 325, 986 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 457, 898, 973, 325, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 457,898,973,325,986

Given numbers are 457,898,973,325,986

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

The LCM of 457,898,973,325,986 is 63978736235050.

Find LCM of 457,898,973,325,986 with Prime Factorization


2 457, 898, 973, 325, 986
457, 449, 973, 325, 493

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

2 x 457 x 449 x 973 x 325 x 493 = 63978736235050

Therefore, the lowest common multiple of 457,898,973,325,986 is 63978736235050.

LCM Formula to Find Lowest Common Multiple of 457,898,973,325,986

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.

457 x 898 x 973 x 325 x 986 = 127957472470100

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.

457 : 1, 457

898 : 1, 2, 449, 898

973 : 1, 7, 139, 973

325 : 1, 5, 13, 25, 65, 325

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,898,973,325,986, is 1.

Now, the common factors can be found like this.

457:457

898:2x 449

973:7x 139

325:5x 5x 13

986:2x 17x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 127957472470100/(1x2)

LCM = 127957472470100/2

LCM = 63978736235050

Thus, we can understand that the LCM of 457,898,973,325,986 is 63978736235050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 457, 898, 973, 325, 986

1. What is the LCM of 457, 898, 973, 325, 986?

Answer: LCM of 457, 898, 973, 325, 986 is 63978736235050.

2. How to calculate the LCM of 457, 898, 973, 325, 986?

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 457, 898, 973, 325, 986.

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}.