Find the LCM of 340, 707, 345, 543 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 340, 707, 345, 543. So, keep reading to learn more.
Given numbers are 340,707,345,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 340,707,345,543 is 3002105820.
Find LCM of 340,707,345,543 with Prime Factorization
3 | 340, 707, 345, 543 |
5 | 340, 707, 115, 181 |
68, 707, 23, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 68 x 707 x 23 x 181 = 3002105820
Therefore, the lowest common multiple of 340,707,345,543 is 3002105820.
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.
340 x 707 x 345 x 543 = 45031587300
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.
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
707 : 1, 7, 101, 707
345 : 1, 3, 5, 15, 23, 69, 115, 345
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,707,345,543, is 1.
Now, the common factors can be found like this.
340:2x 2x 5x 17
707:7x 101
345:3x 5x 23
543:3x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 45031587300/(1x15)
LCM = 45031587300/15
LCM = 3002105820
Thus, we can understand that the LCM of 340,707,345,543 is 3002105820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 340, 707, 345, 543?
Answer: LCM of 340, 707, 345, 543 is 3002105820.
2. How to calculate the LCM of 340, 707, 345, 543?
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 340, 707, 345, 543.
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}.