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LCM of 808, 551, 145, 781, 169

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


Find the LCM of 808, 551, 145, 781, 169 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 808, 551, 145, 781, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,551,145,781,169

Given numbers are 808,551,145,781,169

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

The LCM of 808,551,145,781,169 is 293812793560.

Find LCM of 808,551,145,781,169 with Prime Factorization


29 808, 551, 145, 781, 169
808, 19, 5, 781, 169

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

29 x 808 x 19 x 5 x 781 x 169 = 293812793560

Therefore, the lowest common multiple of 808,551,145,781,169 is 293812793560.

LCM Formula to Find Lowest Common Multiple of 808,551,145,781,169

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.

808 x 551 x 145 x 781 x 169 = 8520571013240

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

551 : 1, 19, 29, 551

145 : 1, 5, 29, 145

781 : 1, 11, 71, 781

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,551,145,781,169, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

551:19x 29

145:5x 29

781:11x 71

169:13x 13

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

29 = 29

Therefore, the value for common factors is 29.

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 = 8520571013240/(1x29)

LCM = 8520571013240/29

LCM = 293812793560

Thus, we can understand that the LCM of 808,551,145,781,169 is 293812793560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 551, 145, 781, 169

1. What is the LCM of 808, 551, 145, 781, 169?

Answer: LCM of 808, 551, 145, 781, 169 is 293812793560.

2. How to calculate the LCM of 808, 551, 145, 781, 169?

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 808, 551, 145, 781, 169.

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}.