LCM of 989, 724, 732, 376, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 724, 732, 376, 724 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 989, 724, 732, 376, 724. So, keep reading to learn more.
Given numbers are 989,724,732,376,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,724,732,376,724 is 12317251272.
Find LCM of 989,724,732,376,724 with Prime Factorization
| 2 | 989, 724, 732, 376, 724 |
| 2 | 989, 362, 366, 188, 362 |
| 181 | 989, 181, 183, 94, 181 |
| 989, 1, 183, 94, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 989 x 1 x 183 x 94 x 1 = 12317251272
Therefore, the lowest common multiple of 989,724,732,376,724 is 12317251272.
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.
989 x 724 x 732 x 376 x 724 = 142683038734848
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.
989 : 1, 23, 43, 989
724 : 1, 2, 4, 181, 362, 724
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
376 : 1, 2, 4, 8, 47, 94, 188, 376
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,724,732,376,724, is 1.
Now, the common factors can be found like this.
989:23x 43
724:2x 2x 181
732:2x 2x 3x 61
376:2x 2x 2x 47
724:2x 2x 181
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 2x 2x 2x 2x 181 = 11584
Therefore, the value for common factors is 11584.
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 = 142683038734848/(1x11584)
LCM = 142683038734848/11584
LCM = 12317251272
Thus, we can understand that the LCM of 989,724,732,376,724 is 12317251272.
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FAQs on LCM of 989, 724, 732, 376, 724
1. What is the LCM of 989, 724, 732, 376, 724?
Answer: LCM of 989, 724, 732, 376, 724 is 12317251272.
2. How to calculate the LCM of 989, 724, 732, 376, 724?
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 989, 724, 732, 376, 724.
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}.