LCM of 244, 892, 720, 349, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 244, 892, 720, 349, 940 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 244, 892, 720, 349, 940. So, keep reading to learn more.
Given numbers are 244,892,720,349,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 244,892,720,349,940 is 160653606480.
Find LCM of 244,892,720,349,940 with Prime Factorization
| 2 | 244, 892, 720, 349, 940 |
| 2 | 122, 446, 360, 349, 470 |
| 5 | 61, 223, 180, 349, 235 |
| 61, 223, 36, 349, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 61 x 223 x 36 x 349 x 47 = 160653606480
Therefore, the lowest common multiple of 244,892,720,349,940 is 160653606480.
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.
244 x 892 x 720 x 349 x 940 = 51409154073600
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.
244 : 1, 2, 4, 61, 122, 244
892 : 1, 2, 4, 223, 446, 892
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
349 : 1, 349
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,892,720,349,940, is 1.
Now, the common factors can be found like this.
244:2x 2x 61
892:2x 2x 223
720:2x 2x 2x 2x 3x 3x 5
349:349
940:2x 2x 5x 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 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 51409154073600/(1x320)
LCM = 51409154073600/320
LCM = 160653606480
Thus, we can understand that the LCM of 244,892,720,349,940 is 160653606480.
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FAQs on LCM of 244, 892, 720, 349, 940
1. What is the LCM of 244, 892, 720, 349, 940?
Answer: LCM of 244, 892, 720, 349, 940 is 160653606480.
2. How to calculate the LCM of 244, 892, 720, 349, 940?
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 244, 892, 720, 349, 940.
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}.