LCM of 748, 222, 403, 522, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 222, 403, 522, 310 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 748, 222, 403, 522, 310. So, keep reading to learn more.
Given numbers are 748,222,403,522,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,222,403,522,310 is 14555223540.
Find LCM of 748,222,403,522,310 with Prime Factorization
| 2 | 748, 222, 403, 522, 310 |
| 3 | 374, 111, 403, 261, 155 |
| 31 | 374, 37, 403, 87, 155 |
| 374, 37, 13, 87, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 374 x 37 x 13 x 87 x 5 = 14555223540
Therefore, the lowest common multiple of 748,222,403,522,310 is 14555223540.
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.
748 x 222 x 403 x 522 x 310 = 10829086313760
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
222 : 1, 2, 3, 6, 37, 74, 111, 222
403 : 1, 13, 31, 403
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,222,403,522,310, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
222:2x 3x 37
403:13x 31
522:2x 3x 3x 29
310:2x 5x 31
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 2x 3x 31 = 744
Therefore, the value for common factors is 744.
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 = 10829086313760/(1x744)
LCM = 10829086313760/744
LCM = 14555223540
Thus, we can understand that the LCM of 748,222,403,522,310 is 14555223540.
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FAQs on LCM of 748, 222, 403, 522, 310
1. What is the LCM of 748, 222, 403, 522, 310?
Answer: LCM of 748, 222, 403, 522, 310 is 14555223540.
2. How to calculate the LCM of 748, 222, 403, 522, 310?
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 748, 222, 403, 522, 310.
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}.