LCM of 726, 561, 542, 678, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 561, 542, 678, 772 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 726, 561, 542, 678, 772. So, keep reading to learn more.
Given numbers are 726,561,542,678,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,561,542,678,772 is 145888339476.
Find LCM of 726,561,542,678,772 with Prime Factorization
| 2 | 726, 561, 542, 678, 772 |
| 3 | 363, 561, 271, 339, 386 |
| 11 | 121, 187, 271, 113, 386 |
| 11, 17, 271, 113, 386 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 17 x 271 x 113 x 386 = 145888339476
Therefore, the lowest common multiple of 726,561,542,678,772 is 145888339476.
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.
726 x 561 x 542 x 678 x 772 = 115543564864992
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
561 : 1, 3, 11, 17, 33, 51, 187, 561
542 : 1, 2, 271, 542
678 : 1, 2, 3, 6, 113, 226, 339, 678
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,561,542,678,772, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
561:3x 11x 17
542:2x 271
678:2x 3x 113
772:2x 2x 193
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 115543564864992/(1x792)
LCM = 115543564864992/792
LCM = 145888339476
Thus, we can understand that the LCM of 726,561,542,678,772 is 145888339476.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 726, 561, 542, 678, 772
1. What is the LCM of 726, 561, 542, 678, 772?
Answer: LCM of 726, 561, 542, 678, 772 is 145888339476.
2. How to calculate the LCM of 726, 561, 542, 678, 772?
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 726, 561, 542, 678, 772.
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}.