LCM of 314, 295, 514, 861, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 295, 514, 861, 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 314, 295, 514, 861, 420. So, keep reading to learn more.
Given numbers are 314,295,514,861,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,295,514,861,420 is 40993777020.
Find LCM of 314,295,514,861,420 with Prime Factorization
| 2 | 314, 295, 514, 861, 420 |
| 3 | 157, 295, 257, 861, 210 |
| 5 | 157, 295, 257, 287, 70 |
| 7 | 157, 59, 257, 287, 14 |
| 157, 59, 257, 41, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 157 x 59 x 257 x 41 x 2 = 40993777020
Therefore, the lowest common multiple of 314,295,514,861,420 is 40993777020.
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.
314 x 295 x 514 x 861 x 420 = 17217386348400
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.
314 : 1, 2, 157, 314
295 : 1, 5, 59, 295
514 : 1, 2, 257, 514
861 : 1, 3, 7, 21, 41, 123, 287, 861
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 314,295,514,861,420, is 1.
Now, the common factors can be found like this.
314:2x 157
295:5x 59
514:2x 257
861:3x 7x 41
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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 17217386348400/(1x420)
LCM = 17217386348400/420
LCM = 40993777020
Thus, we can understand that the LCM of 314,295,514,861,420 is 40993777020.
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FAQs on LCM of 314, 295, 514, 861, 420
1. What is the LCM of 314, 295, 514, 861, 420?
Answer: LCM of 314, 295, 514, 861, 420 is 40993777020.
2. How to calculate the LCM of 314, 295, 514, 861, 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 314, 295, 514, 861, 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}.