LCM of 868, 264, 865, 715, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 264, 865, 715, 753 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 868, 264, 865, 715, 753. So, keep reading to learn more.
Given numbers are 868,264,865,715,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,264,865,715,753 is 161695093560.
Find LCM of 868,264,865,715,753 with Prime Factorization
| 2 | 868, 264, 865, 715, 753 |
| 2 | 434, 132, 865, 715, 753 |
| 3 | 217, 66, 865, 715, 753 |
| 5 | 217, 22, 865, 715, 251 |
| 11 | 217, 22, 173, 143, 251 |
| 217, 2, 173, 13, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 217 x 2 x 173 x 13 x 251 = 161695093560
Therefore, the lowest common multiple of 868,264,865,715,753 is 161695093560.
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.
868 x 264 x 865 x 715 x 753 = 106718761749600
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
865 : 1, 5, 173, 865
715 : 1, 5, 11, 13, 55, 65, 143, 715
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,264,865,715,753, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
264:2x 2x 2x 3x 11
865:5x 173
715:5x 11x 13
753:3x 251
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 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 106718761749600/(1x660)
LCM = 106718761749600/660
LCM = 161695093560
Thus, we can understand that the LCM of 868,264,865,715,753 is 161695093560.
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FAQs on LCM of 868, 264, 865, 715, 753
1. What is the LCM of 868, 264, 865, 715, 753?
Answer: LCM of 868, 264, 865, 715, 753 is 161695093560.
2. How to calculate the LCM of 868, 264, 865, 715, 753?
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 868, 264, 865, 715, 753.
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}.