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LCM of 171, 545, 344, 346, 613

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


Find the LCM of 171, 545, 344, 346, 613 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 171, 545, 344, 346, 613. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 171,545,344,346,613

Given numbers are 171,545,344,346,613

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

The LCM of 171,545,344,346,613 is 3399833374920.

Find LCM of 171,545,344,346,613 with Prime Factorization


2 171, 545, 344, 346, 613
171, 545, 172, 173, 613

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

2 x 171 x 545 x 172 x 173 x 613 = 3399833374920

Therefore, the lowest common multiple of 171,545,344,346,613 is 3399833374920.

LCM Formula to Find Lowest Common Multiple of 171,545,344,346,613

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.

171 x 545 x 344 x 346 x 613 = 6799666749840

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.

171 : 1, 3, 9, 19, 57, 171

545 : 1, 5, 109, 545

344 : 1, 2, 4, 8, 43, 86, 172, 344

346 : 1, 2, 173, 346

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,545,344,346,613, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

545:5x 109

344:2x 2x 2x 43

346:2x 173

613:613

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 = 6799666749840/(1x2)

LCM = 6799666749840/2

LCM = 3399833374920

Thus, we can understand that the LCM of 171,545,344,346,613 is 3399833374920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 171, 545, 344, 346, 613

1. What is the LCM of 171, 545, 344, 346, 613?

Answer: LCM of 171, 545, 344, 346, 613 is 3399833374920.

2. How to calculate the LCM of 171, 545, 344, 346, 613?

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 171, 545, 344, 346, 613.

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}.