LCM of 714, 748, 610, 869, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 748, 610, 869, 231 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 714, 748, 610, 869, 231. So, keep reading to learn more.
Given numbers are 714,748,610,869,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,748,610,869,231 is 378484260.
Find LCM of 714,748,610,869,231 with Prime Factorization
| 2 | 714, 748, 610, 869, 231 |
| 3 | 357, 374, 305, 869, 231 |
| 7 | 119, 374, 305, 869, 77 |
| 11 | 17, 374, 305, 869, 11 |
| 17 | 17, 34, 305, 79, 1 |
| 1, 2, 305, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 17 x 1 x 2 x 305 x 79 x 1 = 378484260
Therefore, the lowest common multiple of 714,748,610,869,231 is 378484260.
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.
714 x 748 x 610 x 869 x 231 = 65397538316880
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
610 : 1, 2, 5, 10, 61, 122, 305, 610
869 : 1, 11, 79, 869
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,748,610,869,231, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
748:2x 2x 11x 17
610:2x 5x 61
869:11x 79
231:3x 7x 11
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 7x 11x 11x 17 = 172788
Therefore, the value for common factors is 172788.
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 = 65397538316880/(1x172788)
LCM = 65397538316880/172788
LCM = 378484260
Thus, we can understand that the LCM of 714,748,610,869,231 is 378484260.
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FAQs on LCM of 714, 748, 610, 869, 231
1. What is the LCM of 714, 748, 610, 869, 231?
Answer: LCM of 714, 748, 610, 869, 231 is 378484260.
2. How to calculate the LCM of 714, 748, 610, 869, 231?
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 714, 748, 610, 869, 231.
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}.