Find the LCM of 341, 214, 722, 140 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 341, 214, 722, 140. So, keep reading to learn more.
Given numbers are 341,214,722,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,214,722,140 is 1844052980.
Find LCM of 341,214,722,140 with Prime Factorization
2 | 341, 214, 722, 140 |
341, 107, 361, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 341 x 107 x 361 x 70 = 1844052980
Therefore, the lowest common multiple of 341,214,722,140 is 1844052980.
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.
341 x 214 x 722 x 140 = 7376211920
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.
341 : 1, 11, 31, 341
214 : 1, 2, 107, 214
722 : 1, 2, 19, 38, 361, 722
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,214,722,140, is 1.
Now, the common factors can be found like this.
341:11x 31
214:2x 107
722:2x 19x 19
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 7376211920/(1x4)
LCM = 7376211920/4
LCM = 1844052980
Thus, we can understand that the LCM of 341,214,722,140 is 1844052980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 214, 722, 140?
Answer: LCM of 341, 214, 722, 140 is 1844052980.
2. How to calculate the LCM of 341, 214, 722, 140?
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 341, 214, 722, 140.
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}.