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LCM of 246, 169, 395, 902, 648

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


Find the LCM of 246, 169, 395, 902, 648 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 246, 169, 395, 902, 648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 246,169,395,902,648

Given numbers are 246,169,395,902,648

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

The LCM of 246,169,395,902,648 is 19509015240.

Find LCM of 246,169,395,902,648 with Prime Factorization


2 246, 169, 395, 902, 648
3 123, 169, 395, 451, 324
41 41, 169, 395, 451, 108
1, 169, 395, 11, 108

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

2 x 3 x 41 x 1 x 169 x 395 x 11 x 108 = 19509015240

Therefore, the lowest common multiple of 246,169,395,902,648 is 19509015240.

LCM Formula to Find Lowest Common Multiple of 246,169,395,902,648

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.

246 x 169 x 395 x 902 x 648 = 9598435498080

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

169 : 1, 13, 169

395 : 1, 5, 79, 395

902 : 1, 2, 11, 22, 41, 82, 451, 902

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,169,395,902,648, is 1.

Now, the common factors can be found like this.

246:2x 3x 41

169:13x 13

395:5x 79

902:2x 11x 41

648:2x 2x 2x 3x 3x 3x 3

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

2x 2x 3x 41 = 492

Therefore, the value for common factors is 492.

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 = 9598435498080/(1x492)

LCM = 9598435498080/492

LCM = 19509015240

Thus, we can understand that the LCM of 246,169,395,902,648 is 19509015240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 246, 169, 395, 902, 648

1. What is the LCM of 246, 169, 395, 902, 648?

Answer: LCM of 246, 169, 395, 902, 648 is 19509015240.

2. How to calculate the LCM of 246, 169, 395, 902, 648?

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 246, 169, 395, 902, 648.

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}.