LCM of 922, 486, 234, 724, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 486, 234, 724, 513 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, 486, 234, 724, 513. So, keep reading to learn more.
Given numbers are 922,486,234,724,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,486,234,724,513 is 20032849044.
Find LCM of 922,486,234,724,513 with Prime Factorization
| 2 | 922, 486, 234, 724, 513 |
| 3 | 461, 243, 117, 362, 513 |
| 3 | 461, 81, 39, 362, 171 |
| 3 | 461, 27, 13, 362, 57 |
| 461, 9, 13, 362, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 461 x 9 x 13 x 362 x 19 = 20032849044
Therefore, the lowest common multiple of 922,486,234,724,513 is 20032849044.
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 486 x 234 x 724 x 513 = 38943858541536
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
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
724 : 1, 2, 4, 181, 362, 724
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,486,234,724,513, is 1.
Now, the common factors can be found like this.
922:2x 461
486:2x 3x 3x 3x 3x 3
234:2x 3x 3x 13
724:2x 2x 181
513:3x 3x 3x 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 2x 2x 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 38943858541536/(1x1944)
LCM = 38943858541536/1944
LCM = 20032849044
Thus, we can understand that the LCM of 922,486,234,724,513 is 20032849044.
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FAQs on LCM of 922, 486, 234, 724, 513
1. What is the LCM of 922, 486, 234, 724, 513?
Answer: LCM of 922, 486, 234, 724, 513 is 20032849044.
2. How to calculate the LCM of 922, 486, 234, 724, 513?
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, 486, 234, 724, 513.
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}.