LCM of 917, 242, 868, 783, 651
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 242, 868, 783, 651 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 917, 242, 868, 783, 651. So, keep reading to learn more.
Given numbers are 917,242,868,783,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,242,868,783,651 is 10773037044.
Find LCM of 917,242,868,783,651 with Prime Factorization
| 2 | 917, 242, 868, 783, 651 |
| 3 | 917, 121, 434, 783, 651 |
| 7 | 917, 121, 434, 261, 217 |
| 31 | 131, 121, 62, 261, 31 |
| 131, 121, 2, 261, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 131 x 121 x 2 x 261 x 1 = 10773037044
Therefore, the lowest common multiple of 917,242,868,783,651 is 10773037044.
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.
917 x 242 x 868 x 783 x 651 = 98185459619016
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.
917 : 1, 7, 131, 917
242 : 1, 2, 11, 22, 121, 242
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
783 : 1, 3, 9, 27, 29, 87, 261, 783
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,242,868,783,651, is 1.
Now, the common factors can be found like this.
917:7x 131
242:2x 11x 11
868:2x 2x 7x 31
783:3x 3x 3x 29
651:3x 7x 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 7x 7x 31 = 9114
Therefore, the value for common factors is 9114.
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 = 98185459619016/(1x9114)
LCM = 98185459619016/9114
LCM = 10773037044
Thus, we can understand that the LCM of 917,242,868,783,651 is 10773037044.
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FAQs on LCM of 917, 242, 868, 783, 651
1. What is the LCM of 917, 242, 868, 783, 651?
Answer: LCM of 917, 242, 868, 783, 651 is 10773037044.
2. How to calculate the LCM of 917, 242, 868, 783, 651?
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 917, 242, 868, 783, 651.
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}.