LCM of 947, 802, 495, 744, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 947, 802, 495, 744, 961 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 947, 802, 495, 744, 961. So, keep reading to learn more.
Given numbers are 947,802,495,744,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,802,495,744,961 is 1445149993320.
Find LCM of 947,802,495,744,961 with Prime Factorization
| 2 | 947, 802, 495, 744, 961 |
| 3 | 947, 401, 495, 372, 961 |
| 31 | 947, 401, 165, 124, 961 |
| 947, 401, 165, 4, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 947 x 401 x 165 x 4 x 31 = 1445149993320
Therefore, the lowest common multiple of 947,802,495,744,961 is 1445149993320.
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.
947 x 802 x 495 x 744 x 961 = 268797898757520
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.
947 : 1, 947
802 : 1, 2, 401, 802
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,802,495,744,961, is 1.
Now, the common factors can be found like this.
947:947
802:2x 401
495:3x 3x 5x 11
744:2x 2x 2x 3x 31
961:31x 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 3x 31 = 186
Therefore, the value for common factors is 186.
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 = 268797898757520/(1x186)
LCM = 268797898757520/186
LCM = 1445149993320
Thus, we can understand that the LCM of 947,802,495,744,961 is 1445149993320.
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FAQs on LCM of 947, 802, 495, 744, 961
1. What is the LCM of 947, 802, 495, 744, 961?
Answer: LCM of 947, 802, 495, 744, 961 is 1445149993320.
2. How to calculate the LCM of 947, 802, 495, 744, 961?
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 947, 802, 495, 744, 961.
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}.