LCM of 853, 108, 962, 741, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 108, 962, 741, 294 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 853, 108, 962, 741, 294. So, keep reading to learn more.
Given numbers are 853,108,962,741,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,108,962,741,294 is 41254140564.
Find LCM of 853,108,962,741,294 with Prime Factorization
| 2 | 853, 108, 962, 741, 294 |
| 3 | 853, 54, 481, 741, 147 |
| 13 | 853, 18, 481, 247, 49 |
| 853, 18, 37, 19, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 853 x 18 x 37 x 19 x 49 = 41254140564
Therefore, the lowest common multiple of 853,108,962,741,294 is 41254140564.
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.
853 x 108 x 962 x 741 x 294 = 19306937783952
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.
853 : 1, 853
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
962 : 1, 2, 13, 26, 37, 74, 481, 962
741 : 1, 3, 13, 19, 39, 57, 247, 741
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,108,962,741,294, is 1.
Now, the common factors can be found like this.
853:853
108:2x 2x 3x 3x 3
962:2x 13x 37
741:3x 13x 19
294:2x 3x 7x 7
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 19306937783952/(1x468)
LCM = 19306937783952/468
LCM = 41254140564
Thus, we can understand that the LCM of 853,108,962,741,294 is 41254140564.
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FAQs on LCM of 853, 108, 962, 741, 294
1. What is the LCM of 853, 108, 962, 741, 294?
Answer: LCM of 853, 108, 962, 741, 294 is 41254140564.
2. How to calculate the LCM of 853, 108, 962, 741, 294?
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 853, 108, 962, 741, 294.
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}.