LCM of 420, 416, 401, 492, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 416, 401, 492, 968 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 420, 416, 401, 492, 968. So, keep reading to learn more.
Given numbers are 420,416,401,492,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,416,401,492,968 is 86895288480.
Find LCM of 420,416,401,492,968 with Prime Factorization
| 2 | 420, 416, 401, 492, 968 |
| 2 | 210, 208, 401, 246, 484 |
| 2 | 105, 104, 401, 123, 242 |
| 3 | 105, 52, 401, 123, 121 |
| 35, 52, 401, 41, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 35 x 52 x 401 x 41 x 121 = 86895288480
Therefore, the lowest common multiple of 420,416,401,492,968 is 86895288480.
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.
420 x 416 x 401 x 492 x 968 = 33367790776320
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.
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
401 : 1, 401
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,416,401,492,968, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
416:2x 2x 2x 2x 2x 13
401:401
492:2x 2x 3x 41
968:2x 2x 2x 11x 11
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 33367790776320/(1x384)
LCM = 33367790776320/384
LCM = 86895288480
Thus, we can understand that the LCM of 420,416,401,492,968 is 86895288480.
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FAQs on LCM of 420, 416, 401, 492, 968
1. What is the LCM of 420, 416, 401, 492, 968?
Answer: LCM of 420, 416, 401, 492, 968 is 86895288480.
2. How to calculate the LCM of 420, 416, 401, 492, 968?
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 420, 416, 401, 492, 968.
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}.