LCM of 927, 707, 980, 522, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 707, 980, 522, 410 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 927, 707, 980, 522, 410. So, keep reading to learn more.
Given numbers are 927,707,980,522,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,707,980,522,410 is 109096052940.
Find LCM of 927,707,980,522,410 with Prime Factorization
| 2 | 927, 707, 980, 522, 410 |
| 3 | 927, 707, 490, 261, 205 |
| 3 | 309, 707, 490, 87, 205 |
| 5 | 103, 707, 490, 29, 205 |
| 7 | 103, 707, 98, 29, 41 |
| 103, 101, 14, 29, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 103 x 101 x 14 x 29 x 41 = 109096052940
Therefore, the lowest common multiple of 927,707,980,522,410 is 109096052940.
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.
927 x 707 x 980 x 522 x 410 = 137461026704400
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.
927 : 1, 3, 9, 103, 309, 927
707 : 1, 7, 101, 707
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,707,980,522,410, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
707:7x 101
980:2x 2x 5x 7x 7
522:2x 3x 3x 29
410:2x 5x 41
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 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 137461026704400/(1x1260)
LCM = 137461026704400/1260
LCM = 109096052940
Thus, we can understand that the LCM of 927,707,980,522,410 is 109096052940.
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FAQs on LCM of 927, 707, 980, 522, 410
1. What is the LCM of 927, 707, 980, 522, 410?
Answer: LCM of 927, 707, 980, 522, 410 is 109096052940.
2. How to calculate the LCM of 927, 707, 980, 522, 410?
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 927, 707, 980, 522, 410.
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}.