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LCM of 283, 685, 548, 269

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


Find the LCM of 283, 685, 548, 269 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 283, 685, 548, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,685,548,269

Given numbers are 283,685,548,269

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

The LCM of 283,685,548,269 is 208587980.

Find LCM of 283,685,548,269 with Prime Factorization


137 283, 685, 548, 269
283, 5, 4, 269

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

137 x 283 x 5 x 4 x 269 = 208587980

Therefore, the lowest common multiple of 283,685,548,269 is 208587980.

LCM Formula to Find Lowest Common Multiple of 283,685,548,269

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.

283 x 685 x 548 x 269 = 28576553260

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.

283 : 1, 283

685 : 1, 5, 137, 685

548 : 1, 2, 4, 137, 274, 548

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,685,548,269, is 1.

Now, the common factors can be found like this.

283:283

685:5x 137

548:2x 2x 137

269:269

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

137 = 137

Therefore, the value for common factors is 137.

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 = 28576553260/(1x137)

LCM = 28576553260/137

LCM = 208587980

Thus, we can understand that the LCM of 283,685,548,269 is 208587980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 685, 548, 269

1. What is the LCM of 283, 685, 548, 269?

Answer: LCM of 283, 685, 548, 269 is 208587980.

2. How to calculate the LCM of 283, 685, 548, 269?

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 283, 685, 548, 269.

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}.