LCM of 917, 686, 460, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 686, 460, 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 917, 686, 460, 420. So, keep reading to learn more.
Given numbers are 917,686,460,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,686,460,420 is 62007540.
Find LCM of 917,686,460,420 with Prime Factorization
| 2 | 917, 686, 460, 420 |
| 2 | 917, 343, 230, 210 |
| 5 | 917, 343, 115, 105 |
| 7 | 917, 343, 23, 21 |
| 131, 49, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 131 x 49 x 23 x 3 = 62007540
Therefore, the lowest common multiple of 917,686,460,420 is 62007540.
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.
917 x 686 x 460 x 420 = 121534778400
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.
917 : 1, 7, 131, 917
686 : 1, 2, 7, 14, 49, 98, 343, 686
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 917,686,460,420, is 1.
Now, the common factors can be found like this.
917:7x 131
686:2x 7x 7x 7
460:2x 2x 5x 23
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 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 121534778400/(1x1960)
LCM = 121534778400/1960
LCM = 62007540
Thus, we can understand that the LCM of 917,686,460,420 is 62007540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 917, 686, 460, 420
1. What is the LCM of 917, 686, 460, 420?
Answer: LCM of 917, 686, 460, 420 is 62007540.
2. How to calculate the LCM of 917, 686, 460, 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 917, 686, 460, 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}.