LCM of 962, 908, 894, 620, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 908, 894, 620, 465 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 962, 908, 894, 620, 465. So, keep reading to learn more.
Given numbers are 962,908,894,620,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,908,894,620,465 is 30260085180.
Find LCM of 962,908,894,620,465 with Prime Factorization
| 2 | 962, 908, 894, 620, 465 |
| 2 | 481, 454, 447, 310, 465 |
| 3 | 481, 227, 447, 155, 465 |
| 5 | 481, 227, 149, 155, 155 |
| 31 | 481, 227, 149, 31, 31 |
| 481, 227, 149, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 481 x 227 x 149 x 1 x 1 = 30260085180
Therefore, the lowest common multiple of 962,908,894,620,465 is 30260085180.
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.
962 x 908 x 894 x 620 x 465 = 225135033739200
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
908 : 1, 2, 4, 227, 454, 908
894 : 1, 2, 3, 6, 149, 298, 447, 894
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,908,894,620,465, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
908:2x 2x 227
894:2x 3x 149
620:2x 2x 5x 31
465:3x 5x 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 3x 5x 31 = 7440
Therefore, the value for common factors is 7440.
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 = 225135033739200/(1x7440)
LCM = 225135033739200/7440
LCM = 30260085180
Thus, we can understand that the LCM of 962,908,894,620,465 is 30260085180.
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FAQs on LCM of 962, 908, 894, 620, 465
1. What is the LCM of 962, 908, 894, 620, 465?
Answer: LCM of 962, 908, 894, 620, 465 is 30260085180.
2. How to calculate the LCM of 962, 908, 894, 620, 465?
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 962, 908, 894, 620, 465.
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}.