LCM of 967, 386, 475, 840, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 386, 475, 840, 361 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, 386, 475, 840, 361. So, keep reading to learn more.
Given numbers are 967,386,475,840,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,386,475,840,361 is 282969922200.
Find LCM of 967,386,475,840,361 with Prime Factorization
| 2 | 967, 386, 475, 840, 361 |
| 5 | 967, 193, 475, 420, 361 |
| 19 | 967, 193, 95, 84, 361 |
| 967, 193, 5, 84, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 967 x 193 x 5 x 84 x 19 = 282969922200
Therefore, the lowest common multiple of 967,386,475,840,361 is 282969922200.
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 386 x 475 x 840 x 361 = 53764285218000
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
386 : 1, 2, 193, 386
475 : 1, 5, 19, 25, 95, 475
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,386,475,840,361, is 1.
Now, the common factors can be found like this.
967:967
386:2x 193
475:5x 5x 19
840:2x 2x 2x 3x 5x 7
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19 = 190
Therefore, the value for common factors is 190.
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 = 53764285218000/(1x190)
LCM = 53764285218000/190
LCM = 282969922200
Thus, we can understand that the LCM of 967,386,475,840,361 is 282969922200.
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FAQs on LCM of 967, 386, 475, 840, 361
1. What is the LCM of 967, 386, 475, 840, 361?
Answer: LCM of 967, 386, 475, 840, 361 is 282969922200.
2. How to calculate the LCM of 967, 386, 475, 840, 361?
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, 386, 475, 840, 361.
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}.