LCM of 723, 128, 961, 527, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 128, 961, 527, 302 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 723, 128, 961, 527, 302. So, keep reading to learn more.
Given numbers are 723,128,961,527,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,128,961,527,302 is 228295590528.
Find LCM of 723,128,961,527,302 with Prime Factorization
| 2 | 723, 128, 961, 527, 302 |
| 31 | 723, 64, 961, 527, 151 |
| 723, 64, 31, 17, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 723 x 64 x 31 x 17 x 151 = 228295590528
Therefore, the lowest common multiple of 723,128,961,527,302 is 228295590528.
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.
723 x 128 x 961 x 527 x 302 = 14154326612736
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.
723 : 1, 3, 241, 723
128 : 1, 2, 4, 8, 16, 32, 64, 128
961 : 1, 31, 961
527 : 1, 17, 31, 527
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,128,961,527,302, is 1.
Now, the common factors can be found like this.
723:3x 241
128:2x 2x 2x 2x 2x 2x 2
961:31x 31
527:17x 31
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31 = 62
Therefore, the value for common factors is 62.
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 = 14154326612736/(1x62)
LCM = 14154326612736/62
LCM = 228295590528
Thus, we can understand that the LCM of 723,128,961,527,302 is 228295590528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 723, 128, 961, 527, 302
1. What is the LCM of 723, 128, 961, 527, 302?
Answer: LCM of 723, 128, 961, 527, 302 is 228295590528.
2. How to calculate the LCM of 723, 128, 961, 527, 302?
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 723, 128, 961, 527, 302.
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}.