LCM of 981, 749, 549, 792, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 749, 549, 792, 681 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 981, 749, 549, 792, 681. So, keep reading to learn more.
Given numbers are 981,749,549,792,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,749,549,792,681 is 895342478184.
Find LCM of 981,749,549,792,681 with Prime Factorization
| 3 | 981, 749, 549, 792, 681 |
| 3 | 327, 749, 183, 264, 227 |
| 109, 749, 61, 88, 227 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 109 x 749 x 61 x 88 x 227 = 895342478184
Therefore, the lowest common multiple of 981,749,549,792,681 is 895342478184.
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.
981 x 749 x 549 x 792 x 681 = 217568222198712
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.
981 : 1, 3, 9, 109, 327, 981
749 : 1, 7, 107, 749
549 : 1, 3, 9, 61, 183, 549
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,749,549,792,681, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
749:7x 107
549:3x 3x 61
792:2x 2x 2x 3x 3x 11
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 217568222198712/(1x243)
LCM = 217568222198712/243
LCM = 895342478184
Thus, we can understand that the LCM of 981,749,549,792,681 is 895342478184.
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FAQs on LCM of 981, 749, 549, 792, 681
1. What is the LCM of 981, 749, 549, 792, 681?
Answer: LCM of 981, 749, 549, 792, 681 is 895342478184.
2. How to calculate the LCM of 981, 749, 549, 792, 681?
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 981, 749, 549, 792, 681.
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}.