LCM of 343, 119, 578, 173, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 119, 578, 173, 114 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 343, 119, 578, 173, 114. So, keep reading to learn more.
Given numbers are 343,119,578,173,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,119,578,173,114 is 1954982694.
Find LCM of 343,119,578,173,114 with Prime Factorization
| 2 | 343, 119, 578, 173, 114 |
| 7 | 343, 119, 289, 173, 57 |
| 17 | 49, 17, 289, 173, 57 |
| 49, 1, 17, 173, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 49 x 1 x 17 x 173 x 57 = 1954982694
Therefore, the lowest common multiple of 343,119,578,173,114 is 1954982694.
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.
343 x 119 x 578 x 173 x 114 = 465285881172
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.
343 : 1, 7, 49, 343
119 : 1, 7, 17, 119
578 : 1, 2, 17, 34, 289, 578
173 : 1, 173
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,119,578,173,114, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
119:7x 17
578:2x 17x 17
173:173
114:2x 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.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 465285881172/(1x238)
LCM = 465285881172/238
LCM = 1954982694
Thus, we can understand that the LCM of 343,119,578,173,114 is 1954982694.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 343, 119, 578, 173, 114
1. What is the LCM of 343, 119, 578, 173, 114?
Answer: LCM of 343, 119, 578, 173, 114 is 1954982694.
2. How to calculate the LCM of 343, 119, 578, 173, 114?
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 343, 119, 578, 173, 114.
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}.