LCM of 688, 767, 798, 858, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 767, 798, 858, 781 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 688, 767, 798, 858, 781. So, keep reading to learn more.
Given numbers are 688,767,798,858,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,767,798,858,781 is 164440099824.
Find LCM of 688,767,798,858,781 with Prime Factorization
| 2 | 688, 767, 798, 858, 781 |
| 3 | 344, 767, 399, 429, 781 |
| 11 | 344, 767, 133, 143, 781 |
| 13 | 344, 767, 133, 13, 71 |
| 344, 59, 133, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 344 x 59 x 133 x 1 x 71 = 164440099824
Therefore, the lowest common multiple of 688,767,798,858,781 is 164440099824.
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.
688 x 767 x 798 x 858 x 781 = 282179211297984
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
767 : 1, 13, 59, 767
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,767,798,858,781, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
767:13x 59
798:2x 3x 7x 19
858:2x 3x 11x 13
781:11x 71
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 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 282179211297984/(1x1716)
LCM = 282179211297984/1716
LCM = 164440099824
Thus, we can understand that the LCM of 688,767,798,858,781 is 164440099824.
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FAQs on LCM of 688, 767, 798, 858, 781
1. What is the LCM of 688, 767, 798, 858, 781?
Answer: LCM of 688, 767, 798, 858, 781 is 164440099824.
2. How to calculate the LCM of 688, 767, 798, 858, 781?
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 688, 767, 798, 858, 781.
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}.