LCM of 814, 947, 342, 378, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 947, 342, 378, 918 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 814, 947, 342, 378, 918. So, keep reading to learn more.
Given numbers are 814,947,342,378,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,947,342,378,918 is 47058568326.
Find LCM of 814,947,342,378,918 with Prime Factorization
| 2 | 814, 947, 342, 378, 918 |
| 3 | 407, 947, 171, 189, 459 |
| 3 | 407, 947, 57, 63, 153 |
| 3 | 407, 947, 19, 21, 51 |
| 407, 947, 19, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 407 x 947 x 19 x 7 x 17 = 47058568326
Therefore, the lowest common multiple of 814,947,342,378,918 is 47058568326.
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.
814 x 947 x 342 x 378 x 918 = 91481856825744
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
947 : 1, 947
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,947,342,378,918, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
947:947
342:2x 3x 3x 19
378:2x 3x 3x 3x 7
918:2x 3x 3x 3x 17
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 2x 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 91481856825744/(1x1944)
LCM = 91481856825744/1944
LCM = 47058568326
Thus, we can understand that the LCM of 814,947,342,378,918 is 47058568326.
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FAQs on LCM of 814, 947, 342, 378, 918
1. What is the LCM of 814, 947, 342, 378, 918?
Answer: LCM of 814, 947, 342, 378, 918 is 47058568326.
2. How to calculate the LCM of 814, 947, 342, 378, 918?
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 814, 947, 342, 378, 918.
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}.