Find the LCM of 532, 310, 918, 627, 865 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 532, 310, 918, 627, 865. So, keep reading to learn more.
Given numbers are 532,310,918,627,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,310,918,627,865 is 72026913420.
Find LCM of 532,310,918,627,865 with Prime Factorization
2 | 532, 310, 918, 627, 865 |
3 | 266, 155, 459, 627, 865 |
5 | 266, 155, 153, 209, 865 |
19 | 266, 31, 153, 209, 173 |
14, 31, 153, 11, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 14 x 31 x 153 x 11 x 173 = 72026913420
Therefore, the lowest common multiple of 532,310,918,627,865 is 72026913420.
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.
532 x 310 x 918 x 627 x 865 = 82110681298800
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
310 : 1, 2, 5, 10, 31, 62, 155, 310
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
627 : 1, 3, 11, 19, 33, 57, 209, 627
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,310,918,627,865, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
310:2x 5x 31
918:2x 3x 3x 3x 17
627:3x 11x 19
865:5x 173
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 3x 5x 19 = 1140
Therefore, the value for common factors is 1140.
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 = 82110681298800/(1x1140)
LCM = 82110681298800/1140
LCM = 72026913420
Thus, we can understand that the LCM of 532,310,918,627,865 is 72026913420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 310, 918, 627, 865?
Answer: LCM of 532, 310, 918, 627, 865 is 72026913420.
2. How to calculate the LCM of 532, 310, 918, 627, 865?
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 532, 310, 918, 627, 865.
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}.