LCM of 469, 254, 198, 208, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 254, 198, 208, 420 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 469, 254, 198, 208, 420. So, keep reading to learn more.
Given numbers are 469,254,198,208,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,254,198,208,420 is 6132606480.
Find LCM of 469,254,198,208,420 with Prime Factorization
| 2 | 469, 254, 198, 208, 420 |
| 2 | 469, 127, 99, 104, 210 |
| 3 | 469, 127, 99, 52, 105 |
| 7 | 469, 127, 33, 52, 35 |
| 67, 127, 33, 52, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 67 x 127 x 33 x 52 x 5 = 6132606480
Therefore, the lowest common multiple of 469,254,198,208,420 is 6132606480.
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.
469 x 254 x 198 x 208 x 420 = 2060555777280
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.
469 : 1, 7, 67, 469
254 : 1, 2, 127, 254
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,254,198,208,420, is 1.
Now, the common factors can be found like this.
469:7x 67
254:2x 127
198:2x 3x 3x 11
208:2x 2x 2x 2x 13
420:2x 2x 3x 5x 7
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 7 = 336
Therefore, the value for common factors is 336.
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 = 2060555777280/(1x336)
LCM = 2060555777280/336
LCM = 6132606480
Thus, we can understand that the LCM of 469,254,198,208,420 is 6132606480.
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FAQs on LCM of 469, 254, 198, 208, 420
1. What is the LCM of 469, 254, 198, 208, 420?
Answer: LCM of 469, 254, 198, 208, 420 is 6132606480.
2. How to calculate the LCM of 469, 254, 198, 208, 420?
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 469, 254, 198, 208, 420.
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}.