LCM of 722, 578, 962, 741, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 578, 962, 741, 290 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 722, 578, 962, 741, 290. So, keep reading to learn more.
Given numbers are 722,578,962,741,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,578,962,741,290 is 43658556630.
Find LCM of 722,578,962,741,290 with Prime Factorization
| 2 | 722, 578, 962, 741, 290 |
| 13 | 361, 289, 481, 741, 145 |
| 19 | 361, 289, 37, 57, 145 |
| 19, 289, 37, 3, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 19 x 289 x 37 x 3 x 145 = 43658556630
Therefore, the lowest common multiple of 722,578,962,741,290 is 43658556630.
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.
722 x 578 x 962 x 741 x 290 = 86269307900880
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.
722 : 1, 2, 19, 38, 361, 722
578 : 1, 2, 17, 34, 289, 578
962 : 1, 2, 13, 26, 37, 74, 481, 962
741 : 1, 3, 13, 19, 39, 57, 247, 741
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,578,962,741,290, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
578:2x 17x 17
962:2x 13x 37
741:3x 13x 19
290:2x 5x 29
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 86269307900880/(1x1976)
LCM = 86269307900880/1976
LCM = 43658556630
Thus, we can understand that the LCM of 722,578,962,741,290 is 43658556630.
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FAQs on LCM of 722, 578, 962, 741, 290
1. What is the LCM of 722, 578, 962, 741, 290?
Answer: LCM of 722, 578, 962, 741, 290 is 43658556630.
2. How to calculate the LCM of 722, 578, 962, 741, 290?
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 722, 578, 962, 741, 290.
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}.