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LCM of 775, 649, 632, 733, 869

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


Find the LCM of 775, 649, 632, 733, 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 775, 649, 632, 733, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 775,649,632,733,869

Given numbers are 775,649,632,733,869

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

The LCM of 775,649,632,733,869 is 233006186600.

Find LCM of 775,649,632,733,869 with Prime Factorization


11 775, 649, 632, 733, 869
79 775, 59, 632, 733, 79
775, 59, 8, 733, 1

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

11 x 79 x 775 x 59 x 8 x 733 x 1 = 233006186600

Therefore, the lowest common multiple of 775,649,632,733,869 is 233006186600.

LCM Formula to Find Lowest Common Multiple of 775,649,632,733,869

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.

775 x 649 x 632 x 733 x 869 = 202482376155400

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.

775 : 1, 5, 25, 31, 155, 775

649 : 1, 11, 59, 649

632 : 1, 2, 4, 8, 79, 158, 316, 632

733 : 1, 733

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,649,632,733,869, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

649:11x 59

632:2x 2x 2x 79

733:733

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.

11x 79 = 869

Therefore, the value for common factors is 869.

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 = 202482376155400/(1x869)

LCM = 202482376155400/869

LCM = 233006186600

Thus, we can understand that the LCM of 775,649,632,733,869 is 233006186600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 775, 649, 632, 733, 869

1. What is the LCM of 775, 649, 632, 733, 869?

Answer: LCM of 775, 649, 632, 733, 869 is 233006186600.

2. How to calculate the LCM of 775, 649, 632, 733, 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 775, 649, 632, 733, 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}.