LCM of 863, 465, 374, 651, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 863, 465, 374, 651, 748 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 863, 465, 374, 651, 748. So, keep reading to learn more.
Given numbers are 863,465,374,651,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 863,465,374,651,748 is 2101180620.
Find LCM of 863,465,374,651,748 with Prime Factorization
| 2 | 863, 465, 374, 651, 748 |
| 3 | 863, 465, 187, 651, 374 |
| 11 | 863, 155, 187, 217, 374 |
| 17 | 863, 155, 17, 217, 34 |
| 31 | 863, 155, 1, 217, 2 |
| 863, 5, 1, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 31 x 863 x 5 x 1 x 7 x 2 = 2101180620
Therefore, the lowest common multiple of 863,465,374,651,748 is 2101180620.
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.
863 x 465 x 374 x 651 x 748 = 73083264324840
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.
863 : 1, 863
465 : 1, 3, 5, 15, 31, 93, 155, 465
374 : 1, 2, 11, 17, 22, 34, 187, 374
651 : 1, 3, 7, 21, 31, 93, 217, 651
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,465,374,651,748, is 1.
Now, the common factors can be found like this.
863:863
465:3x 5x 31
374:2x 11x 17
651:3x 7x 31
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 17x 31 = 34782
Therefore, the value for common factors is 34782.
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 = 73083264324840/(1x34782)
LCM = 73083264324840/34782
LCM = 2101180620
Thus, we can understand that the LCM of 863,465,374,651,748 is 2101180620.
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FAQs on LCM of 863, 465, 374, 651, 748
1. What is the LCM of 863, 465, 374, 651, 748?
Answer: LCM of 863, 465, 374, 651, 748 is 2101180620.
2. How to calculate the LCM of 863, 465, 374, 651, 748?
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 863, 465, 374, 651, 748.
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}.