LCM of 967, 382, 168, 620, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 382, 168, 620, 486 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 967, 382, 168, 620, 486. So, keep reading to learn more.
Given numbers are 967,382,168,620,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,382,168,620,486 is 389570300280.
Find LCM of 967,382,168,620,486 with Prime Factorization
| 2 | 967, 382, 168, 620, 486 |
| 2 | 967, 191, 84, 310, 243 |
| 3 | 967, 191, 42, 155, 243 |
| 967, 191, 14, 155, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 967 x 191 x 14 x 155 x 81 = 389570300280
Therefore, the lowest common multiple of 967,382,168,620,486 is 389570300280.
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.
967 x 382 x 168 x 620 x 486 = 18699374413440
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.
967 : 1, 967
382 : 1, 2, 191, 382
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,382,168,620,486, is 1.
Now, the common factors can be found like this.
967:967
382:2x 191
168:2x 2x 2x 3x 7
620:2x 2x 5x 31
486:2x 3x 3x 3x 3x 3
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 3 = 48
Therefore, the value for common factors is 48.
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 = 18699374413440/(1x48)
LCM = 18699374413440/48
LCM = 389570300280
Thus, we can understand that the LCM of 967,382,168,620,486 is 389570300280.
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FAQs on LCM of 967, 382, 168, 620, 486
1. What is the LCM of 967, 382, 168, 620, 486?
Answer: LCM of 967, 382, 168, 620, 486 is 389570300280.
2. How to calculate the LCM of 967, 382, 168, 620, 486?
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 967, 382, 168, 620, 486.
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}.