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LCM of 824, 762, 866, 841, 869

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


Find the LCM of 824, 762, 866, 841, 869 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 824, 762, 866, 841, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,762,866,841,869

Given numbers are 824,762,866,841,869

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

The LCM of 824,762,866,841,869 is 99347251356408.

Find LCM of 824,762,866,841,869 with Prime Factorization


2 824, 762, 866, 841, 869
412, 381, 433, 841, 869

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

2 x 412 x 381 x 433 x 841 x 869 = 99347251356408

Therefore, the lowest common multiple of 824,762,866,841,869 is 99347251356408.

LCM Formula to Find Lowest Common Multiple of 824,762,866,841,869

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.

824 x 762 x 866 x 841 x 869 = 397389005425632

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

762 : 1, 2, 3, 6, 127, 254, 381, 762

866 : 1, 2, 433, 866

841 : 1, 29, 841

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,762,866,841,869, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

762:2x 3x 127

866:2x 433

841:29x 29

869:11x 79

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 = 397389005425632/(1x4)

LCM = 397389005425632/4

LCM = 99347251356408

Thus, we can understand that the LCM of 824,762,866,841,869 is 99347251356408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 762, 866, 841, 869

1. What is the LCM of 824, 762, 866, 841, 869?

Answer: LCM of 824, 762, 866, 841, 869 is 99347251356408.

2. How to calculate the LCM of 824, 762, 866, 841, 869?

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 824, 762, 866, 841, 869.

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}.