LCM of 561, 706, 267, 748, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 706, 267, 748, 918 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 561, 706, 267, 748, 918. So, keep reading to learn more.
Given numbers are 561,706,267,748,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,706,267,748,918 is 634497732.
Find LCM of 561,706,267,748,918 with Prime Factorization
| 2 | 561, 706, 267, 748, 918 |
| 3 | 561, 353, 267, 374, 459 |
| 11 | 187, 353, 89, 374, 153 |
| 17 | 17, 353, 89, 34, 153 |
| 1, 353, 89, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 1 x 353 x 89 x 2 x 9 = 634497732
Therefore, the lowest common multiple of 561,706,267,748,918 is 634497732.
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.
561 x 706 x 267 x 748 x 918 = 72614458441008
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
706 : 1, 2, 353, 706
267 : 1, 3, 89, 267
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,706,267,748,918, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
706:2x 353
267:3x 89
748:2x 2x 11x 17
918:2x 3x 3x 3x 17
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 3x 11x 17x 17 = 114444
Therefore, the value for common factors is 114444.
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 = 72614458441008/(1x114444)
LCM = 72614458441008/114444
LCM = 634497732
Thus, we can understand that the LCM of 561,706,267,748,918 is 634497732.
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FAQs on LCM of 561, 706, 267, 748, 918
1. What is the LCM of 561, 706, 267, 748, 918?
Answer: LCM of 561, 706, 267, 748, 918 is 634497732.
2. How to calculate the LCM of 561, 706, 267, 748, 918?
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 561, 706, 267, 748, 918.
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}.