LCM of 543, 929, 693, 889, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 929, 693, 889, 528 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 543, 929, 693, 889, 528. So, keep reading to learn more.
Given numbers are 543,929,693,889,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,929,693,889,528 is 236783386224.
Find LCM of 543,929,693,889,528 with Prime Factorization
| 3 | 543, 929, 693, 889, 528 |
| 7 | 181, 929, 231, 889, 176 |
| 11 | 181, 929, 33, 127, 176 |
| 181, 929, 3, 127, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 181 x 929 x 3 x 127 x 16 = 236783386224
Therefore, the lowest common multiple of 543,929,693,889,528 is 236783386224.
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.
543 x 929 x 693 x 889 x 528 = 164090886653232
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.
543 : 1, 3, 181, 543
929 : 1, 929
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
889 : 1, 7, 127, 889
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,929,693,889,528, is 1.
Now, the common factors can be found like this.
543:3x 181
929:929
693:3x 3x 7x 11
889:7x 127
528:2x 2x 2x 2x 3x 11
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 7x 11 = 693
Therefore, the value for common factors is 693.
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 = 164090886653232/(1x693)
LCM = 164090886653232/693
LCM = 236783386224
Thus, we can understand that the LCM of 543,929,693,889,528 is 236783386224.
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FAQs on LCM of 543, 929, 693, 889, 528
1. What is the LCM of 543, 929, 693, 889, 528?
Answer: LCM of 543, 929, 693, 889, 528 is 236783386224.
2. How to calculate the LCM of 543, 929, 693, 889, 528?
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 543, 929, 693, 889, 528.
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}.