LCM of 852, 420, 109, 610, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 420, 109, 610, 190 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 852, 420, 109, 610, 190. So, keep reading to learn more.
Given numbers are 852,420,109,610,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,420,109,610,190 is 3767190420.
Find LCM of 852,420,109,610,190 with Prime Factorization
| 2 | 852, 420, 109, 610, 190 |
| 2 | 426, 210, 109, 305, 95 |
| 3 | 213, 105, 109, 305, 95 |
| 5 | 71, 35, 109, 305, 95 |
| 71, 7, 109, 61, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 71 x 7 x 109 x 61 x 19 = 3767190420
Therefore, the lowest common multiple of 852,420,109,610,190 is 3767190420.
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.
852 x 420 x 109 x 610 x 190 = 4520628504000
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
109 : 1, 109
610 : 1, 2, 5, 10, 61, 122, 305, 610
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,420,109,610,190, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
420:2x 2x 3x 5x 7
109:109
610:2x 5x 61
190:2x 5x 19
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 2x 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 4520628504000/(1x1200)
LCM = 4520628504000/1200
LCM = 3767190420
Thus, we can understand that the LCM of 852,420,109,610,190 is 3767190420.
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FAQs on LCM of 852, 420, 109, 610, 190
1. What is the LCM of 852, 420, 109, 610, 190?
Answer: LCM of 852, 420, 109, 610, 190 is 3767190420.
2. How to calculate the LCM of 852, 420, 109, 610, 190?
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 852, 420, 109, 610, 190.
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}.