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LCM of 235, 235, 441, 681

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


Find the LCM of 235, 235, 441, 681 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 235, 235, 441, 681. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,235,441,681

Given numbers are 235,235,441,681

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

The LCM of 235,235,441,681 is 23525145.

Find LCM of 235,235,441,681 with Prime Factorization


3 235, 235, 441, 681
5 235, 235, 147, 227
47 47, 47, 147, 227
1, 1, 147, 227

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

3 x 5 x 47 x 1 x 1 x 147 x 227 = 23525145

Therefore, the lowest common multiple of 235,235,441,681 is 23525145.

LCM Formula to Find Lowest Common Multiple of 235,235,441,681

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.

235 x 235 x 441 x 681 = 16585227225

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.

235 : 1, 5, 47, 235

235 : 1, 5, 47, 235

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,235,441,681, is 1.

Now, the common factors can be found like this.

235:5x 47

235:5x 47

441:3x 3x 7x 7

681:3x 227

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

3x 5x 47 = 705

Therefore, the value for common factors is 705.

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 = 16585227225/(1x705)

LCM = 16585227225/705

LCM = 23525145

Thus, we can understand that the LCM of 235,235,441,681 is 23525145.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 235, 441, 681

1. What is the LCM of 235, 235, 441, 681?

Answer: LCM of 235, 235, 441, 681 is 23525145.

2. How to calculate the LCM of 235, 235, 441, 681?

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 235, 235, 441, 681.

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}.