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LCM of 528, 922, 243, 179, 868

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


Find the LCM of 528, 922, 243, 179, 868 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 528, 922, 243, 179, 868. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,922,243,179,868

Given numbers are 528,922,243,179,868

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

The LCM of 528,922,243,179,868 is 765830452464.

Find LCM of 528,922,243,179,868 with Prime Factorization


2 528, 922, 243, 179, 868
2 264, 461, 243, 179, 434
3 132, 461, 243, 179, 217
44, 461, 81, 179, 217

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

2 x 2 x 3 x 44 x 461 x 81 x 179 x 217 = 765830452464

Therefore, the lowest common multiple of 528,922,243,179,868 is 765830452464.

LCM Formula to Find Lowest Common Multiple of 528,922,243,179,868

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.

528 x 922 x 243 x 179 x 868 = 18379930859136

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

922 : 1, 2, 461, 922

243 : 1, 3, 9, 27, 81, 243

179 : 1, 179

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,922,243,179,868, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

922:2x 461

243:3x 3x 3x 3x 3

179:179

868:2x 2x 7x 31

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 18379930859136/(1x24)

LCM = 18379930859136/24

LCM = 765830452464

Thus, we can understand that the LCM of 528,922,243,179,868 is 765830452464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 922, 243, 179, 868

1. What is the LCM of 528, 922, 243, 179, 868?

Answer: LCM of 528, 922, 243, 179, 868 is 765830452464.

2. How to calculate the LCM of 528, 922, 243, 179, 868?

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 528, 922, 243, 179, 868.

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}.