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LCM of 73, 649, 869

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


Find the LCM of 73, 649, 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 73, 649, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 73,649,869

Given numbers are 73,649,869

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

The LCM of 73,649,869 is 3742783.

Find LCM of 73,649,869 with Prime Factorization


11 73, 649, 869
73, 59, 79

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

11 x 73 x 59 x 79 = 3742783

Therefore, the lowest common multiple of 73,649,869 is 3742783.

LCM Formula to Find Lowest Common Multiple of 73,649,869

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.

73 x 649 x 869 = 41170613

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.

73 : 1, 73

649 : 1, 11, 59, 649

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 73,649,869, is 1.

Now, the common factors can be found like this.

73:73

649:11x 59

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.

11 = 11

Therefore, the value for common factors is 11.

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 = 41170613/(1x11)

LCM = 41170613/11

LCM = 3742783

Thus, we can understand that the LCM of 73,649,869 is 3742783.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 73, 649, 869

1. What is the LCM of 73, 649, 869?

Answer: LCM of 73, 649, 869 is 3742783.

2. How to calculate the LCM of 73, 649, 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 73, 649, 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}.