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LCM of 681, 133, 338, 133

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


Find the LCM of 681, 133, 338, 133 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 681, 133, 338, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,133,338,133

Given numbers are 681,133,338,133

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

The LCM of 681,133,338,133 is 30613674.

Find LCM of 681,133,338,133 with Prime Factorization


7 681, 133, 338, 133
19 681, 19, 338, 19
681, 1, 338, 1

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

7 x 19 x 681 x 1 x 338 x 1 = 30613674

Therefore, the lowest common multiple of 681,133,338,133 is 30613674.

LCM Formula to Find Lowest Common Multiple of 681,133,338,133

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.

681 x 133 x 338 x 133 = 4071618642

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.

681 : 1, 3, 227, 681

133 : 1, 7, 19, 133

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

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,133,338,133, is 1.

Now, the common factors can be found like this.

681:3x 227

133:7x 19

338:2x 13x 13

133:7x 19

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

7x 19 = 133

Therefore, the value for common factors is 133.

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 = 4071618642/(1x133)

LCM = 4071618642/133

LCM = 30613674

Thus, we can understand that the LCM of 681,133,338,133 is 30613674.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 133, 338, 133

1. What is the LCM of 681, 133, 338, 133?

Answer: LCM of 681, 133, 338, 133 is 30613674.

2. How to calculate the LCM of 681, 133, 338, 133?

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 681, 133, 338, 133.

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}.