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LCM of 995, 546, 239, 163, 174

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


Find the LCM of 995, 546, 239, 163, 174 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 995, 546, 239, 163, 174. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 995,546,239,163,174

Given numbers are 995,546,239,163,174

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

The LCM of 995,546,239,163,174 is 613760912310.

Find LCM of 995,546,239,163,174 with Prime Factorization


2 995, 546, 239, 163, 174
3 995, 273, 239, 163, 87
995, 91, 239, 163, 29

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

2 x 3 x 995 x 91 x 239 x 163 x 29 = 613760912310

Therefore, the lowest common multiple of 995,546,239,163,174 is 613760912310.

LCM Formula to Find Lowest Common Multiple of 995,546,239,163,174

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.

995 x 546 x 239 x 163 x 174 = 3682565473860

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.

995 : 1, 5, 199, 995

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

239 : 1, 239

163 : 1, 163

174 : 1, 2, 3, 6, 29, 58, 87, 174

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,546,239,163,174, is 1.

Now, the common factors can be found like this.

995:5x 199

546:2x 3x 7x 13

239:239

163:163

174:2x 3x 29

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3682565473860/(1x6)

LCM = 3682565473860/6

LCM = 613760912310

Thus, we can understand that the LCM of 995,546,239,163,174 is 613760912310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 995, 546, 239, 163, 174

1. What is the LCM of 995, 546, 239, 163, 174?

Answer: LCM of 995, 546, 239, 163, 174 is 613760912310.

2. How to calculate the LCM of 995, 546, 239, 163, 174?

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 995, 546, 239, 163, 174.

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}.