LCM of 824, 922, 705, 458, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 922, 705, 458, 248 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 824, 922, 705, 458, 248. So, keep reading to learn more.
Given numbers are 824,922,705,458,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,922,705,458,248 is 1901141447880.
Find LCM of 824,922,705,458,248 with Prime Factorization
| 2 | 824, 922, 705, 458, 248 |
| 2 | 412, 461, 705, 229, 124 |
| 2 | 206, 461, 705, 229, 62 |
| 103, 461, 705, 229, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 461 x 705 x 229 x 31 = 1901141447880
Therefore, the lowest common multiple of 824,922,705,458,248 is 1901141447880.
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.
824 x 922 x 705 x 458 x 248 = 60836526332160
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
922 : 1, 2, 461, 922
705 : 1, 3, 5, 15, 47, 141, 235, 705
458 : 1, 2, 229, 458
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,922,705,458,248, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
922:2x 461
705:3x 5x 47
458:2x 229
248:2x 2x 2x 31
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 2 = 32
Therefore, the value for common factors is 32.
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 = 60836526332160/(1x32)
LCM = 60836526332160/32
LCM = 1901141447880
Thus, we can understand that the LCM of 824,922,705,458,248 is 1901141447880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 922, 705, 458, 248
1. What is the LCM of 824, 922, 705, 458, 248?
Answer: LCM of 824, 922, 705, 458, 248 is 1901141447880.
2. How to calculate the LCM of 824, 922, 705, 458, 248?
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 824, 922, 705, 458, 248.
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}.