LCM of 860, 938, 510, 170, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 938, 510, 170, 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 860, 938, 510, 170, 314. So, keep reading to learn more.
Given numbers are 860,938,510,170,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,938,510,170,314 is 3229543380.
Find LCM of 860,938,510,170,314 with Prime Factorization
| 2 | 860, 938, 510, 170, 314 |
| 5 | 430, 469, 255, 85, 157 |
| 17 | 86, 469, 51, 17, 157 |
| 86, 469, 3, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 86 x 469 x 3 x 1 x 157 = 3229543380
Therefore, the lowest common multiple of 860,938,510,170,314 is 3229543380.
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.
860 x 938 x 510 x 170 x 314 = 21960894984000
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
938 : 1, 2, 7, 14, 67, 134, 469, 938
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
170 : 1, 2, 5, 10, 17, 34, 85, 170
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,938,510,170,314, is 2.
Now, the common factors can be found like this.
860:2x 2x 5x 43
938:2x 7x 67
510:2x 3x 5x 17
170:2x 5x 17
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 5x 17 = 3400
Therefore, the value for common factors is 3400.
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 = 21960894984000/(2x3400)
LCM = 21960894984000/6800
LCM = 3229543380
Thus, we can understand that the LCM of 860,938,510,170,314 is 3229543380.
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FAQs on LCM of 860, 938, 510, 170, 314
1. What is the LCM of 860, 938, 510, 170, 314?
Answer: LCM of 860, 938, 510, 170, 314 is 3229543380.
2. How to calculate the LCM of 860, 938, 510, 170, 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 860, 938, 510, 170, 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}.