LCM of 109, 650, 942, 897, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 650, 942, 897, 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 109, 650, 942, 897, 450. So, keep reading to learn more.
Given numbers are 109,650,942,897,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,650,942,897,450 is 2302554150.
Find LCM of 109,650,942,897,450 with Prime Factorization
| 2 | 109, 650, 942, 897, 450 |
| 3 | 109, 325, 471, 897, 225 |
| 5 | 109, 325, 157, 299, 75 |
| 5 | 109, 65, 157, 299, 15 |
| 13 | 109, 13, 157, 299, 3 |
| 109, 1, 157, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 109 x 1 x 157 x 23 x 3 = 2302554150
Therefore, the lowest common multiple of 109,650,942,897,450 is 2302554150.
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.
109 x 650 x 942 x 897 x 450 = 26939883555000
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.
109 : 1, 109
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
942 : 1, 2, 3, 6, 157, 314, 471, 942
897 : 1, 3, 13, 23, 39, 69, 299, 897
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 109,650,942,897,450, is 1.
Now, the common factors can be found like this.
109:109
650:2x 5x 5x 13
942:2x 3x 157
897:3x 13x 23
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 3x 3x 5x 5x 13 = 11700
Therefore, the value for common factors is 11700.
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 = 26939883555000/(1x11700)
LCM = 26939883555000/11700
LCM = 2302554150
Thus, we can understand that the LCM of 109,650,942,897,450 is 2302554150.
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FAQs on LCM of 109, 650, 942, 897, 450
1. What is the LCM of 109, 650, 942, 897, 450?
Answer: LCM of 109, 650, 942, 897, 450 is 2302554150.
2. How to calculate the LCM of 109, 650, 942, 897, 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 109, 650, 942, 897, 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}.