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LCM of 271, 524, 782, 797, 169

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


Find the LCM of 271, 524, 782, 797, 169 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 271, 524, 782, 797, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,524,782,797,169

Given numbers are 271,524,782,797,169

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

The LCM of 271,524,782,797,169 is 7478635405852.

Find LCM of 271,524,782,797,169 with Prime Factorization


2 271, 524, 782, 797, 169
271, 262, 391, 797, 169

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

2 x 271 x 262 x 391 x 797 x 169 = 7478635405852

Therefore, the lowest common multiple of 271,524,782,797,169 is 7478635405852.

LCM Formula to Find Lowest Common Multiple of 271,524,782,797,169

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.

271 x 524 x 782 x 797 x 169 = 14957270811704

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.

271 : 1, 271

524 : 1, 2, 4, 131, 262, 524

782 : 1, 2, 17, 23, 34, 46, 391, 782

797 : 1, 797

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,524,782,797,169, is 1.

Now, the common factors can be found like this.

271:271

524:2x 2x 131

782:2x 17x 23

797:797

169:13x 13

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 = 14957270811704/(1x2)

LCM = 14957270811704/2

LCM = 7478635405852

Thus, we can understand that the LCM of 271,524,782,797,169 is 7478635405852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 271, 524, 782, 797, 169

1. What is the LCM of 271, 524, 782, 797, 169?

Answer: LCM of 271, 524, 782, 797, 169 is 7478635405852.

2. How to calculate the LCM of 271, 524, 782, 797, 169?

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 271, 524, 782, 797, 169.

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}.