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LCM of 270, 523, 542, 221, 623

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


Find the LCM of 270, 523, 542, 221, 623 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 270, 523, 542, 221, 623. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 270,523,542,221,623

Given numbers are 270,523,542,221,623

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

The LCM of 270,523,542,221,623 is 5268840652530.

Find LCM of 270,523,542,221,623 with Prime Factorization


2 270, 523, 542, 221, 623
135, 523, 271, 221, 623

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

2 x 135 x 523 x 271 x 221 x 623 = 5268840652530

Therefore, the lowest common multiple of 270,523,542,221,623 is 5268840652530.

LCM Formula to Find Lowest Common Multiple of 270,523,542,221,623

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.

270 x 523 x 542 x 221 x 623 = 10537681305060

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

523 : 1, 523

542 : 1, 2, 271, 542

221 : 1, 13, 17, 221

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,523,542,221,623, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

523:523

542:2x 271

221:13x 17

623:7x 89

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 = 10537681305060/(1x2)

LCM = 10537681305060/2

LCM = 5268840652530

Thus, we can understand that the LCM of 270,523,542,221,623 is 5268840652530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 270, 523, 542, 221, 623

1. What is the LCM of 270, 523, 542, 221, 623?

Answer: LCM of 270, 523, 542, 221, 623 is 5268840652530.

2. How to calculate the LCM of 270, 523, 542, 221, 623?

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 270, 523, 542, 221, 623.

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}.