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LCM of 338, 943, 186, 866, 438

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


Find the LCM of 338, 943, 186, 866, 438 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 338, 943, 186, 866, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,943,186,866,438

Given numbers are 338,943,186,866,438

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

The LCM of 338,943,186,866,438 is 936962259558.

Find LCM of 338,943,186,866,438 with Prime Factorization


2 338, 943, 186, 866, 438
3 169, 943, 93, 433, 219
169, 943, 31, 433, 73

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

2 x 3 x 169 x 943 x 31 x 433 x 73 = 936962259558

Therefore, the lowest common multiple of 338,943,186,866,438 is 936962259558.

LCM Formula to Find Lowest Common Multiple of 338,943,186,866,438

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.

338 x 943 x 186 x 866 x 438 = 22487094229392

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.

338 : 1, 2, 13, 26, 169, 338

943 : 1, 23, 41, 943

186 : 1, 2, 3, 6, 31, 62, 93, 186

866 : 1, 2, 433, 866

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,943,186,866,438, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

943:23x 41

186:2x 3x 31

866:2x 433

438:2x 3x 73

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 22487094229392/(1x24)

LCM = 22487094229392/24

LCM = 936962259558

Thus, we can understand that the LCM of 338,943,186,866,438 is 936962259558.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 943, 186, 866, 438

1. What is the LCM of 338, 943, 186, 866, 438?

Answer: LCM of 338, 943, 186, 866, 438 is 936962259558.

2. How to calculate the LCM of 338, 943, 186, 866, 438?

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 338, 943, 186, 866, 438.

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}.