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LCM of 811, 238, 681, 681, 423

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


Find the LCM of 811, 238, 681, 681, 423 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 811, 238, 681, 681, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 811,238,681,681,423

Given numbers are 811,238,681,681,423

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

The LCM of 811,238,681,681,423 is 18533781378.

Find LCM of 811,238,681,681,423 with Prime Factorization


3 811, 238, 681, 681, 423
227 811, 238, 227, 227, 141
811, 238, 1, 1, 141

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

3 x 227 x 811 x 238 x 1 x 1 x 141 = 18533781378

Therefore, the lowest common multiple of 811,238,681,681,423 is 18533781378.

LCM Formula to Find Lowest Common Multiple of 811,238,681,681,423

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.

811 x 238 x 681 x 681 x 423 = 37864515355254

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.

811 : 1, 811

238 : 1, 2, 7, 14, 17, 34, 119, 238

681 : 1, 3, 227, 681

681 : 1, 3, 227, 681

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,238,681,681,423, is 1.

Now, the common factors can be found like this.

811:811

238:2x 7x 17

681:3x 227

681:3x 227

423:3x 3x 47

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

3x 3x 227 = 2043

Therefore, the value for common factors is 2043.

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 = 37864515355254/(1x2043)

LCM = 37864515355254/2043

LCM = 18533781378

Thus, we can understand that the LCM of 811,238,681,681,423 is 18533781378.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 811, 238, 681, 681, 423

1. What is the LCM of 811, 238, 681, 681, 423?

Answer: LCM of 811, 238, 681, 681, 423 is 18533781378.

2. How to calculate the LCM of 811, 238, 681, 681, 423?

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 811, 238, 681, 681, 423.

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}.