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LCM of 141, 257, 235, 733

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


Find the LCM of 141, 257, 235, 733 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 141, 257, 235, 733. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,257,235,733

Given numbers are 141,257,235,733

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

The LCM of 141,257,235,733 is 132808605.

Find LCM of 141,257,235,733 with Prime Factorization


47 141, 257, 235, 733
3, 257, 5, 733

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

47 x 3 x 257 x 5 x 733 = 132808605

Therefore, the lowest common multiple of 141,257,235,733 is 132808605.

LCM Formula to Find Lowest Common Multiple of 141,257,235,733

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.

141 x 257 x 235 x 733 = 6242004435

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.

141 : 1, 3, 47, 141

257 : 1, 257

235 : 1, 5, 47, 235

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,257,235,733, is 1.

Now, the common factors can be found like this.

141:3x 47

257:257

235:5x 47

733:733

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

47 = 47

Therefore, the value for common factors is 47.

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 = 6242004435/(1x47)

LCM = 6242004435/47

LCM = 132808605

Thus, we can understand that the LCM of 141,257,235,733 is 132808605.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 257, 235, 733

1. What is the LCM of 141, 257, 235, 733?

Answer: LCM of 141, 257, 235, 733 is 132808605.

2. How to calculate the LCM of 141, 257, 235, 733?

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 141, 257, 235, 733.

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}.