Find the LCM of 343, 665, 703, 294 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, 665, 703, 294. So, keep reading to learn more.
Given numbers are 343,665,703,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,665,703,294 is 7233870.
Find LCM of 343,665,703,294 with Prime Factorization
7 | 343, 665, 703, 294 |
7 | 49, 95, 703, 42 |
19 | 7, 95, 703, 6 |
7, 5, 37, 6 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 19 x 7 x 5 x 37 x 6 = 7233870
Therefore, the lowest common multiple of 343,665,703,294 is 7233870.
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 665 x 703 x 294 = 47143130790
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
665 : 1, 5, 7, 19, 35, 95, 133, 665
703 : 1, 19, 37, 703
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,665,703,294, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
665:5x 7x 19
703:19x 37
294:2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7x 19 = 6517
Therefore, the value for common factors is 6517.
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 = 47143130790/(1x6517)
LCM = 47143130790/6517
LCM = 7233870
Thus, we can understand that the LCM of 343,665,703,294 is 7233870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 665, 703, 294?
Answer: LCM of 343, 665, 703, 294 is 7233870.
2. How to calculate the LCM of 343, 665, 703, 294?
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, 665, 703, 294.
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}.