LCM of 922, 308, 695, 585, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 308, 695, 585, 278 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 922, 308, 695, 585, 278. So, keep reading to learn more.
Given numbers are 922,308,695,585,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,308,695,585,278 is 11545754220.
Find LCM of 922,308,695,585,278 with Prime Factorization
| 2 | 922, 308, 695, 585, 278 |
| 5 | 461, 154, 695, 585, 139 |
| 139 | 461, 154, 139, 117, 139 |
| 461, 154, 1, 117, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 139 x 461 x 154 x 1 x 117 x 1 = 11545754220
Therefore, the lowest common multiple of 922,308,695,585,278 is 11545754220.
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.
922 x 308 x 695 x 585 x 278 = 32097196731600
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.
922 : 1, 2, 461, 922
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
695 : 1, 5, 139, 695
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,308,695,585,278, is 1.
Now, the common factors can be found like this.
922:2x 461
308:2x 2x 7x 11
695:5x 139
585:3x 3x 5x 13
278:2x 139
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 5x 139 = 2780
Therefore, the value for common factors is 2780.
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 = 32097196731600/(1x2780)
LCM = 32097196731600/2780
LCM = 11545754220
Thus, we can understand that the LCM of 922,308,695,585,278 is 11545754220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 922, 308, 695, 585, 278
1. What is the LCM of 922, 308, 695, 585, 278?
Answer: LCM of 922, 308, 695, 585, 278 is 11545754220.
2. How to calculate the LCM of 922, 308, 695, 585, 278?
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 922, 308, 695, 585, 278.
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}.