LCM of 723, 728, 931, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 728, 931, 988 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, 728, 931, 988. So, keep reading to learn more.
Given numbers are 723,728,931,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,728,931,988 is 70003752.
Find LCM of 723,728,931,988 with Prime Factorization
| 2 | 723, 728, 931, 988 |
| 2 | 723, 364, 931, 494 |
| 7 | 723, 182, 931, 247 |
| 13 | 723, 26, 133, 247 |
| 19 | 723, 2, 133, 19 |
| 723, 2, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 19 x 723 x 2 x 7 x 1 = 70003752
Therefore, the lowest common multiple of 723,728,931,988 is 70003752.
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 728 x 931 x 988 = 484145948832
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
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
931 : 1, 7, 19, 49, 133, 931
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,728,931,988, is 1.
Now, the common factors can be found like this.
723:3x 241
728:2x 2x 2x 7x 13
931:7x 7x 19
988:2x 2x 13x 19
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 7x 13x 19 = 6916
Therefore, the value for common factors is 6916.
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 = 484145948832/(1x6916)
LCM = 484145948832/6916
LCM = 70003752
Thus, we can understand that the LCM of 723,728,931,988 is 70003752.
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FAQs on LCM of 723, 728, 931, 988
1. What is the LCM of 723, 728, 931, 988?
Answer: LCM of 723, 728, 931, 988 is 70003752.
2. How to calculate the LCM of 723, 728, 931, 988?
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, 728, 931, 988.
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}.