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LCM of 507, 869, 923, 109, 221

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


Find the LCM of 507, 869, 923, 109, 221 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 507, 869, 923, 109, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 507,869,923,109,221

Given numbers are 507,869,923,109,221

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

The LCM of 507,869,923,109,221 is 57964421229.

Find LCM of 507,869,923,109,221 with Prime Factorization


13 507, 869, 923, 109, 221
39, 869, 71, 109, 17

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

13 x 39 x 869 x 71 x 109 x 17 = 57964421229

Therefore, the lowest common multiple of 507,869,923,109,221 is 57964421229.

LCM Formula to Find Lowest Common Multiple of 507,869,923,109,221

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.

507 x 869 x 923 x 109 x 221 = 9795987187701

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.

507 : 1, 3, 13, 39, 169, 507

869 : 1, 11, 79, 869

923 : 1, 13, 71, 923

109 : 1, 109

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,869,923,109,221, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

869:11x 79

923:13x 71

109:109

221:13x 17

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 9795987187701/(1x169)

LCM = 9795987187701/169

LCM = 57964421229

Thus, we can understand that the LCM of 507,869,923,109,221 is 57964421229.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 507, 869, 923, 109, 221

1. What is the LCM of 507, 869, 923, 109, 221?

Answer: LCM of 507, 869, 923, 109, 221 is 57964421229.

2. How to calculate the LCM of 507, 869, 923, 109, 221?

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 507, 869, 923, 109, 221.

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}.