LCM of 122, 420, 686, 565, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 122, 420, 686, 565, 314 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 122, 420, 686, 565, 314. So, keep reading to learn more.
Given numbers are 122,420,686,565,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,420,686,565,314 is 22271696580.
Find LCM of 122,420,686,565,314 with Prime Factorization
| 2 | 122, 420, 686, 565, 314 |
| 5 | 61, 210, 343, 565, 157 |
| 7 | 61, 42, 343, 113, 157 |
| 61, 6, 49, 113, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 61 x 6 x 49 x 113 x 157 = 22271696580
Therefore, the lowest common multiple of 122,420,686,565,314 is 22271696580.
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.
122 x 420 x 686 x 565 x 314 = 6236075042400
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.
122 : 1, 2, 61, 122
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
686 : 1, 2, 7, 14, 49, 98, 343, 686
565 : 1, 5, 113, 565
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,420,686,565,314, is 1.
Now, the common factors can be found like this.
122:2x 61
420:2x 2x 3x 5x 7
686:2x 7x 7x 7
565:5x 113
314:2x 157
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 6236075042400/(1x280)
LCM = 6236075042400/280
LCM = 22271696580
Thus, we can understand that the LCM of 122,420,686,565,314 is 22271696580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 122, 420, 686, 565, 314
1. What is the LCM of 122, 420, 686, 565, 314?
Answer: LCM of 122, 420, 686, 565, 314 is 22271696580.
2. How to calculate the LCM of 122, 420, 686, 565, 314?
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 122, 420, 686, 565, 314.
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}.