LCM of 922, 560, 922, 881, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 560, 922, 881, 564 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, 560, 922, 881, 564. So, keep reading to learn more.
Given numbers are 922,560,922,881,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,560,922,881,564 is 32068893360.
Find LCM of 922,560,922,881,564 with Prime Factorization
| 2 | 922, 560, 922, 881, 564 |
| 2 | 461, 280, 461, 881, 282 |
| 461 | 461, 140, 461, 881, 141 |
| 1, 140, 1, 881, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 461 x 1 x 140 x 1 x 881 x 141 = 32068893360
Therefore, the lowest common multiple of 922,560,922,881,564 is 32068893360.
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 560 x 922 x 881 x 564 = 236540157423360
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
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
922 : 1, 2, 461, 922
881 : 1, 881
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,560,922,881,564, is 1.
Now, the common factors can be found like this.
922:2x 461
560:2x 2x 2x 2x 5x 7
922:2x 461
881:881
564:2x 2x 3x 47
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 461 = 7376
Therefore, the value for common factors is 7376.
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 = 236540157423360/(1x7376)
LCM = 236540157423360/7376
LCM = 32068893360
Thus, we can understand that the LCM of 922,560,922,881,564 is 32068893360.
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FAQs on LCM of 922, 560, 922, 881, 564
1. What is the LCM of 922, 560, 922, 881, 564?
Answer: LCM of 922, 560, 922, 881, 564 is 32068893360.
2. How to calculate the LCM of 922, 560, 922, 881, 564?
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, 560, 922, 881, 564.
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}.