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LCM of 867, 232, 892, 457

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


Find the LCM of 867, 232, 892, 457 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 867, 232, 892, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,232,892,457

Given numbers are 867,232,892,457

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

The LCM of 867,232,892,457 is 20498786184.

Find LCM of 867,232,892,457 with Prime Factorization


2 867, 232, 892, 457
2 867, 116, 446, 457
867, 58, 223, 457

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

2 x 2 x 867 x 58 x 223 x 457 = 20498786184

Therefore, the lowest common multiple of 867,232,892,457 is 20498786184.

LCM Formula to Find Lowest Common Multiple of 867,232,892,457

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.

867 x 232 x 892 x 457 = 81995144736

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.

867 : 1, 3, 17, 51, 289, 867

232 : 1, 2, 4, 8, 29, 58, 116, 232

892 : 1, 2, 4, 223, 446, 892

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,232,892,457, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

232:2x 2x 2x 29

892:2x 2x 223

457:457

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 = 81995144736/(1x4)

LCM = 81995144736/4

LCM = 20498786184

Thus, we can understand that the LCM of 867,232,892,457 is 20498786184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 232, 892, 457

1. What is the LCM of 867, 232, 892, 457?

Answer: LCM of 867, 232, 892, 457 is 20498786184.

2. How to calculate the LCM of 867, 232, 892, 457?

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 867, 232, 892, 457.

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}.