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LCM of 865, 501, 167, 257, 146

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


Find the LCM of 865, 501, 167, 257, 146 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 865, 501, 167, 257, 146. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,501,167,257,146

Given numbers are 865,501,167,257,146

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

The LCM of 865,501,167,257,146 is 16260721530.

Find LCM of 865,501,167,257,146 with Prime Factorization


167 865, 501, 167, 257, 146
865, 3, 1, 257, 146

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

167 x 865 x 3 x 1 x 257 x 146 = 16260721530

Therefore, the lowest common multiple of 865,501,167,257,146 is 16260721530.

LCM Formula to Find Lowest Common Multiple of 865,501,167,257,146

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.

865 x 501 x 167 x 257 x 146 = 2715540495510

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.

865 : 1, 5, 173, 865

501 : 1, 3, 167, 501

167 : 1, 167

257 : 1, 257

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,501,167,257,146, is 1.

Now, the common factors can be found like this.

865:5x 173

501:3x 167

167:167

257:257

146:2x 73

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

167 = 167

Therefore, the value for common factors is 167.

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 = 2715540495510/(1x167)

LCM = 2715540495510/167

LCM = 16260721530

Thus, we can understand that the LCM of 865,501,167,257,146 is 16260721530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 501, 167, 257, 146

1. What is the LCM of 865, 501, 167, 257, 146?

Answer: LCM of 865, 501, 167, 257, 146 is 16260721530.

2. How to calculate the LCM of 865, 501, 167, 257, 146?

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 865, 501, 167, 257, 146.

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}.