LCM of 908, 236, 962, 755, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 908, 236, 962, 755, 703 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 908, 236, 962, 755, 703. So, keep reading to learn more.
Given numbers are 908,236,962,755,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,236,962,755,703 is 369643853540.
Find LCM of 908,236,962,755,703 with Prime Factorization
| 2 | 908, 236, 962, 755, 703 |
| 2 | 454, 118, 481, 755, 703 |
| 37 | 227, 59, 481, 755, 703 |
| 227, 59, 13, 755, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 227 x 59 x 13 x 755 x 19 = 369643853540
Therefore, the lowest common multiple of 908,236,962,755,703 is 369643853540.
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.
908 x 236 x 962 x 755 x 703 = 109414580647840
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.
908 : 1, 2, 4, 227, 454, 908
236 : 1, 2, 4, 59, 118, 236
962 : 1, 2, 13, 26, 37, 74, 481, 962
755 : 1, 5, 151, 755
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,236,962,755,703, is 1.
Now, the common factors can be found like this.
908:2x 2x 227
236:2x 2x 59
962:2x 13x 37
755:5x 151
703:19x 37
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 37 = 296
Therefore, the value for common factors is 296.
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 = 109414580647840/(1x296)
LCM = 109414580647840/296
LCM = 369643853540
Thus, we can understand that the LCM of 908,236,962,755,703 is 369643853540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 908, 236, 962, 755, 703
1. What is the LCM of 908, 236, 962, 755, 703?
Answer: LCM of 908, 236, 962, 755, 703 is 369643853540.
2. How to calculate the LCM of 908, 236, 962, 755, 703?
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 908, 236, 962, 755, 703.
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}.