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LCM of 235, 531, 227, 778, 478

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


Find the LCM of 235, 531, 227, 778, 478 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, 531, 227, 778, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,531,227,778,478

Given numbers are 235,531,227,778,478

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

The LCM of 235,531,227,778,478 is 5267029350690.

Find LCM of 235,531,227,778,478 with Prime Factorization


2 235, 531, 227, 778, 478
235, 531, 227, 389, 239

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

2 x 235 x 531 x 227 x 389 x 239 = 5267029350690

Therefore, the lowest common multiple of 235,531,227,778,478 is 5267029350690.

LCM Formula to Find Lowest Common Multiple of 235,531,227,778,478

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 531 x 227 x 778 x 478 = 10534058701380

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

531 : 1, 3, 9, 59, 177, 531

227 : 1, 227

778 : 1, 2, 389, 778

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,531,227,778,478, is 1.

Now, the common factors can be found like this.

235:5x 47

531:3x 3x 59

227:227

778:2x 389

478:2x 239

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

2 = 2

Therefore, the value for common factors is 2.

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 = 10534058701380/(1x2)

LCM = 10534058701380/2

LCM = 5267029350690

Thus, we can understand that the LCM of 235,531,227,778,478 is 5267029350690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 531, 227, 778, 478

1. What is the LCM of 235, 531, 227, 778, 478?

Answer: LCM of 235, 531, 227, 778, 478 is 5267029350690.

2. How to calculate the LCM of 235, 531, 227, 778, 478?

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, 531, 227, 778, 478.

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}.