LCM of 922, 338, 748, 492, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 338, 748, 492, 363 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, 338, 748, 492, 363. So, keep reading to learn more.
Given numbers are 922,338,748,492,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,338,748,492,363 is 78847335996.
Find LCM of 922,338,748,492,363 with Prime Factorization
| 2 | 922, 338, 748, 492, 363 |
| 2 | 461, 169, 374, 246, 363 |
| 3 | 461, 169, 187, 123, 363 |
| 11 | 461, 169, 187, 41, 121 |
| 461, 169, 17, 41, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 461 x 169 x 17 x 41 x 11 = 78847335996
Therefore, the lowest common multiple of 922,338,748,492,363 is 78847335996.
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 338 x 748 x 492 x 363 = 41631393405888
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
338 : 1, 2, 13, 26, 169, 338
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,338,748,492,363, is 1.
Now, the common factors can be found like this.
922:2x 461
338:2x 13x 13
748:2x 2x 11x 17
492:2x 2x 3x 41
363:3x 11x 11
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 41631393405888/(1x528)
LCM = 41631393405888/528
LCM = 78847335996
Thus, we can understand that the LCM of 922,338,748,492,363 is 78847335996.
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FAQs on LCM of 922, 338, 748, 492, 363
1. What is the LCM of 922, 338, 748, 492, 363?
Answer: LCM of 922, 338, 748, 492, 363 is 78847335996.
2. How to calculate the LCM of 922, 338, 748, 492, 363?
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, 338, 748, 492, 363.
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}.