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LCM of 545, 135, 620, 169, 170

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


Find the LCM of 545, 135, 620, 169, 170 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 545, 135, 620, 169, 170. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 545,135,620,169,170

Given numbers are 545,135,620,169,170

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

The LCM of 545,135,620,169,170 is 5242248180.

Find LCM of 545,135,620,169,170 with Prime Factorization


2 545, 135, 620, 169, 170
5 545, 135, 310, 169, 85
109, 27, 62, 169, 17

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

2 x 5 x 109 x 27 x 62 x 169 x 17 = 5242248180

Therefore, the lowest common multiple of 545,135,620,169,170 is 5242248180.

LCM Formula to Find Lowest Common Multiple of 545,135,620,169,170

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.

545 x 135 x 620 x 169 x 170 = 1310562045000

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.

545 : 1, 5, 109, 545

135 : 1, 3, 5, 9, 15, 27, 45, 135

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

169 : 1, 13, 169

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,135,620,169,170, is 1.

Now, the common factors can be found like this.

545:5x 109

135:3x 3x 3x 5

620:2x 2x 5x 31

169:13x 13

170:2x 5x 17

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

2x 5x 5x 5 = 250

Therefore, the value for common factors is 250.

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 = 1310562045000/(1x250)

LCM = 1310562045000/250

LCM = 5242248180

Thus, we can understand that the LCM of 545,135,620,169,170 is 5242248180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 545, 135, 620, 169, 170

1. What is the LCM of 545, 135, 620, 169, 170?

Answer: LCM of 545, 135, 620, 169, 170 is 5242248180.

2. How to calculate the LCM of 545, 135, 620, 169, 170?

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 545, 135, 620, 169, 170.

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}.