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LCM of 969, 899, 937, 665

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


Find the LCM of 969, 899, 937, 665 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 969, 899, 937, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,899,937,665

Given numbers are 969,899,937,665

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

The LCM of 969,899,937,665 is 28568741145.

Find LCM of 969,899,937,665 with Prime Factorization


19 969, 899, 937, 665
51, 899, 937, 35

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

19 x 51 x 899 x 937 x 35 = 28568741145

Therefore, the lowest common multiple of 969,899,937,665 is 28568741145.

LCM Formula to Find Lowest Common Multiple of 969,899,937,665

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.

969 x 899 x 937 x 665 = 542806081755

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

899 : 1, 29, 31, 899

937 : 1, 937

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,899,937,665, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

899:29x 31

937:937

665:5x 7x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 542806081755/(1x19)

LCM = 542806081755/19

LCM = 28568741145

Thus, we can understand that the LCM of 969,899,937,665 is 28568741145.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 899, 937, 665

1. What is the LCM of 969, 899, 937, 665?

Answer: LCM of 969, 899, 937, 665 is 28568741145.

2. How to calculate the LCM of 969, 899, 937, 665?

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 969, 899, 937, 665.

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}.