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LCM of 535, 247, 228, 406

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


Find the LCM of 535, 247, 228, 406 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 535, 247, 228, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,247,228,406

Given numbers are 535,247,228,406

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

The LCM of 535,247,228,406 is 321905220.

Find LCM of 535,247,228,406 with Prime Factorization


2 535, 247, 228, 406
19 535, 247, 114, 203
535, 13, 6, 203

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

2 x 19 x 535 x 13 x 6 x 203 = 321905220

Therefore, the lowest common multiple of 535,247,228,406 is 321905220.

LCM Formula to Find Lowest Common Multiple of 535,247,228,406

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.

535 x 247 x 228 x 406 = 12232398360

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.

535 : 1, 5, 107, 535

247 : 1, 13, 19, 247

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,247,228,406, is 1.

Now, the common factors can be found like this.

535:5x 107

247:13x 19

228:2x 2x 3x 19

406:2x 7x 29

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 12232398360/(1x38)

LCM = 12232398360/38

LCM = 321905220

Thus, we can understand that the LCM of 535,247,228,406 is 321905220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 247, 228, 406

1. What is the LCM of 535, 247, 228, 406?

Answer: LCM of 535, 247, 228, 406 is 321905220.

2. How to calculate the LCM of 535, 247, 228, 406?

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 535, 247, 228, 406.

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}.