LCM of 893, 392, 819, 122, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 392, 819, 122, 767 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 893, 392, 819, 122, 767. So, keep reading to learn more.
Given numbers are 893,392,819,122,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,392,819,122,767 is 147402630648.
Find LCM of 893,392,819,122,767 with Prime Factorization
| 2 | 893, 392, 819, 122, 767 |
| 7 | 893, 196, 819, 61, 767 |
| 13 | 893, 28, 117, 61, 767 |
| 893, 28, 9, 61, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 893 x 28 x 9 x 61 x 59 = 147402630648
Therefore, the lowest common multiple of 893,392,819,122,767 is 147402630648.
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.
893 x 392 x 819 x 122 x 767 = 26827278777936
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.
893 : 1, 19, 47, 893
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
122 : 1, 2, 61, 122
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,392,819,122,767, is 1.
Now, the common factors can be found like this.
893:19x 47
392:2x 2x 2x 7x 7
819:3x 3x 7x 13
122:2x 61
767:13x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13 = 182
Therefore, the value for common factors is 182.
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 = 26827278777936/(1x182)
LCM = 26827278777936/182
LCM = 147402630648
Thus, we can understand that the LCM of 893,392,819,122,767 is 147402630648.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 893, 392, 819, 122, 767
1. What is the LCM of 893, 392, 819, 122, 767?
Answer: LCM of 893, 392, 819, 122, 767 is 147402630648.
2. How to calculate the LCM of 893, 392, 819, 122, 767?
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 893, 392, 819, 122, 767.
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}.