LCM of 113, 361, 791, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 361, 791, 342 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 113, 361, 791, 342. So, keep reading to learn more.
Given numbers are 113,361,791,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,361,791,342 is 5139918.
Find LCM of 113,361,791,342 with Prime Factorization
| 19 | 113, 361, 791, 342 |
| 113 | 113, 19, 791, 18 |
| 1, 19, 7, 18 |
Multiply the prime numbers at the bottom and the left side.
19 x 113 x 1 x 19 x 7 x 18 = 5139918
Therefore, the lowest common multiple of 113,361,791,342 is 5139918.
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.
113 x 361 x 791 x 342 = 11035403946
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.
113 : 1, 113
361 : 1, 19, 361
791 : 1, 7, 113, 791
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,361,791,342, is 1.
Now, the common factors can be found like this.
113:113
361:19x 19
791:7x 113
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 113 = 2147
Therefore, the value for common factors is 2147.
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 = 11035403946/(1x2147)
LCM = 11035403946/2147
LCM = 5139918
Thus, we can understand that the LCM of 113,361,791,342 is 5139918.
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FAQs on LCM of 113, 361, 791, 342
1. What is the LCM of 113, 361, 791, 342?
Answer: LCM of 113, 361, 791, 342 is 5139918.
2. How to calculate the LCM of 113, 361, 791, 342?
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 113, 361, 791, 342.
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}.