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LCM of 389, 151, 874, 930, 242

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


Find the LCM of 389, 151, 874, 930, 242 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 389, 151, 874, 930, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,151,874,930,242

Given numbers are 389,151,874,930,242

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

The LCM of 389,151,874,930,242 is 2888526155790.

Find LCM of 389,151,874,930,242 with Prime Factorization


2 389, 151, 874, 930, 242
389, 151, 437, 465, 121

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

2 x 389 x 151 x 437 x 465 x 121 = 2888526155790

Therefore, the lowest common multiple of 389,151,874,930,242 is 2888526155790.

LCM Formula to Find Lowest Common Multiple of 389,151,874,930,242

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.

389 x 151 x 874 x 930 x 242 = 11554104623160

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.

389 : 1, 389

151 : 1, 151

874 : 1, 2, 19, 23, 38, 46, 437, 874

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,151,874,930,242, is 1.

Now, the common factors can be found like this.

389:389

151:151

874:2x 19x 23

930:2x 3x 5x 31

242:2x 11x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11554104623160/(1x4)

LCM = 11554104623160/4

LCM = 2888526155790

Thus, we can understand that the LCM of 389,151,874,930,242 is 2888526155790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 151, 874, 930, 242

1. What is the LCM of 389, 151, 874, 930, 242?

Answer: LCM of 389, 151, 874, 930, 242 is 2888526155790.

2. How to calculate the LCM of 389, 151, 874, 930, 242?

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 389, 151, 874, 930, 242.

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}.