LCM of 634, 760, 456, 420, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 760, 456, 420, 209 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 634, 760, 456, 420, 209. So, keep reading to learn more.
Given numbers are 634,760,456,420,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,760,456,420,209 is 55652520.
Find LCM of 634,760,456,420,209 with Prime Factorization
| 2 | 634, 760, 456, 420, 209 |
| 2 | 317, 380, 228, 210, 209 |
| 2 | 317, 190, 114, 105, 209 |
| 3 | 317, 95, 57, 105, 209 |
| 5 | 317, 95, 19, 35, 209 |
| 19 | 317, 19, 19, 7, 209 |
| 317, 1, 1, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 317 x 1 x 1 x 7 x 11 = 55652520
Therefore, the lowest common multiple of 634,760,456,420,209 is 55652520.
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.
634 x 760 x 456 x 420 x 209 = 19286937331200
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.
634 : 1, 2, 317, 634
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,760,456,420,209, is 1.
Now, the common factors can be found like this.
634:2x 317
760:2x 2x 2x 5x 19
456:2x 2x 2x 3x 19
420:2x 2x 3x 5x 7
209:11x 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 2x 2x 3x 5x 19x 19 = 346560
Therefore, the value for common factors is 346560.
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 = 19286937331200/(1x346560)
LCM = 19286937331200/346560
LCM = 55652520
Thus, we can understand that the LCM of 634,760,456,420,209 is 55652520.
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FAQs on LCM of 634, 760, 456, 420, 209
1. What is the LCM of 634, 760, 456, 420, 209?
Answer: LCM of 634, 760, 456, 420, 209 is 55652520.
2. How to calculate the LCM of 634, 760, 456, 420, 209?
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 634, 760, 456, 420, 209.
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}.