LCM of 361, 840, 505, 461, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 840, 505, 461, 318 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 361, 840, 505, 461, 318. So, keep reading to learn more.
Given numbers are 361,840,505,461,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,840,505,461,318 is 748315354920.
Find LCM of 361,840,505,461,318 with Prime Factorization
| 2 | 361, 840, 505, 461, 318 |
| 3 | 361, 420, 505, 461, 159 |
| 5 | 361, 140, 505, 461, 53 |
| 361, 28, 101, 461, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 361 x 28 x 101 x 461 x 53 = 748315354920
Therefore, the lowest common multiple of 361,840,505,461,318 is 748315354920.
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.
361 x 840 x 505 x 461 x 318 = 22449460647600
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.
361 : 1, 19, 361
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
505 : 1, 5, 101, 505
461 : 1, 461
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,840,505,461,318, is 1.
Now, the common factors can be found like this.
361:19x 19
840:2x 2x 2x 3x 5x 7
505:5x 101
461:461
318:2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 22449460647600/(1x30)
LCM = 22449460647600/30
LCM = 748315354920
Thus, we can understand that the LCM of 361,840,505,461,318 is 748315354920.
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FAQs on LCM of 361, 840, 505, 461, 318
1. What is the LCM of 361, 840, 505, 461, 318?
Answer: LCM of 361, 840, 505, 461, 318 is 748315354920.
2. How to calculate the LCM of 361, 840, 505, 461, 318?
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 361, 840, 505, 461, 318.
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}.