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LCM of 487, 403, 949, 182, 923

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


Find the LCM of 487, 403, 949, 182, 923 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 487, 403, 949, 182, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,403,949,182,923

Given numbers are 487,403,949,182,923

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

The LCM of 487,403,949,182,923 is 14241090682.

Find LCM of 487,403,949,182,923 with Prime Factorization


13 487, 403, 949, 182, 923
487, 31, 73, 14, 71

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

13 x 487 x 31 x 73 x 14 x 71 = 14241090682

Therefore, the lowest common multiple of 487,403,949,182,923 is 14241090682.

LCM Formula to Find Lowest Common Multiple of 487,403,949,182,923

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.

487 x 403 x 949 x 182 x 923 = 31287676228354

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.

487 : 1, 487

403 : 1, 13, 31, 403

949 : 1, 13, 73, 949

182 : 1, 2, 7, 13, 14, 26, 91, 182

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,403,949,182,923, is 1.

Now, the common factors can be found like this.

487:487

403:13x 31

949:13x 73

182:2x 7x 13

923:13x 71

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

13x 13x 13 = 2197

Therefore, the value for common factors is 2197.

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 = 31287676228354/(1x2197)

LCM = 31287676228354/2197

LCM = 14241090682

Thus, we can understand that the LCM of 487,403,949,182,923 is 14241090682.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 403, 949, 182, 923

1. What is the LCM of 487, 403, 949, 182, 923?

Answer: LCM of 487, 403, 949, 182, 923 is 14241090682.

2. How to calculate the LCM of 487, 403, 949, 182, 923?

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 487, 403, 949, 182, 923.

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}.