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LCM of 923, 962, 644, 185

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


Find the LCM of 923, 962, 644, 185 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 923, 962, 644, 185. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,962,644,185

Given numbers are 923,962,644,185

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

The LCM of 923,962,644,185 is 109966220.

Find LCM of 923,962,644,185 with Prime Factorization


2 923, 962, 644, 185
13 923, 481, 322, 185
37 71, 37, 322, 185
71, 1, 322, 5

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

2 x 13 x 37 x 71 x 1 x 322 x 5 = 109966220

Therefore, the lowest common multiple of 923,962,644,185 is 109966220.

LCM Formula to Find Lowest Common Multiple of 923,962,644,185

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.

923 x 962 x 644 x 185 = 105787503640

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.

923 : 1, 13, 71, 923

962 : 1, 2, 13, 26, 37, 74, 481, 962

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,962,644,185, is 1.

Now, the common factors can be found like this.

923:13x 71

962:2x 13x 37

644:2x 2x 7x 23

185:5x 37

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

2x 13x 37 = 962

Therefore, the value for common factors is 962.

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 = 105787503640/(1x962)

LCM = 105787503640/962

LCM = 109966220

Thus, we can understand that the LCM of 923,962,644,185 is 109966220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 962, 644, 185

1. What is the LCM of 923, 962, 644, 185?

Answer: LCM of 923, 962, 644, 185 is 109966220.

2. How to calculate the LCM of 923, 962, 644, 185?

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 923, 962, 644, 185.

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}.