Find the LCM of 561, 342, 314, 740 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 561, 342, 314, 740. So, keep reading to learn more.
Given numbers are 561,342,314,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,342,314,740 is 3715087860.
Find LCM of 561,342,314,740 with Prime Factorization
2 | 561, 342, 314, 740 |
3 | 561, 171, 157, 370 |
187, 57, 157, 370 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 187 x 57 x 157 x 370 = 3715087860
Therefore, the lowest common multiple of 561,342,314,740 is 3715087860.
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.
561 x 342 x 314 x 740 = 44581054320
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
314 : 1, 2, 157, 314
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,342,314,740, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
342:2x 3x 3x 19
314:2x 157
740:2x 2x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 44581054320/(1x12)
LCM = 44581054320/12
LCM = 3715087860
Thus, we can understand that the LCM of 561,342,314,740 is 3715087860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 342, 314, 740?
Answer: LCM of 561, 342, 314, 740 is 3715087860.
2. How to calculate the LCM of 561, 342, 314, 740?
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 561, 342, 314, 740.
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}.