LCM of 910, 659, 524, 930, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 659, 524, 930, 450 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 910, 659, 524, 930, 450. So, keep reading to learn more.
Given numbers are 910,659,524,930,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,659,524,930,450 is 219180698100.
Find LCM of 910,659,524,930,450 with Prime Factorization
| 2 | 910, 659, 524, 930, 450 |
| 3 | 455, 659, 262, 465, 225 |
| 5 | 455, 659, 262, 155, 75 |
| 91, 659, 262, 31, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 91 x 659 x 262 x 31 x 15 = 219180698100
Therefore, the lowest common multiple of 910,659,524,930,450 is 219180698100.
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.
910 x 659 x 524 x 930 x 450 = 131508418860000
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
659 : 1, 659
524 : 1, 2, 4, 131, 262, 524
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,659,524,930,450, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
659:659
524:2x 2x 131
930:2x 3x 5x 31
450:2x 3x 3x 5x 5
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 131508418860000/(1x600)
LCM = 131508418860000/600
LCM = 219180698100
Thus, we can understand that the LCM of 910,659,524,930,450 is 219180698100.
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FAQs on LCM of 910, 659, 524, 930, 450
1. What is the LCM of 910, 659, 524, 930, 450?
Answer: LCM of 910, 659, 524, 930, 450 is 219180698100.
2. How to calculate the LCM of 910, 659, 524, 930, 450?
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 910, 659, 524, 930, 450.
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}.