LCM of 548, 157, 756, 450, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 157, 756, 450, 693 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 548, 157, 756, 450, 693. So, keep reading to learn more.
Given numbers are 548,157,756,450,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,157,756,450,693 is 4471721100.
Find LCM of 548,157,756,450,693 with Prime Factorization
| 2 | 548, 157, 756, 450, 693 |
| 2 | 274, 157, 378, 225, 693 |
| 3 | 137, 157, 189, 225, 693 |
| 3 | 137, 157, 63, 75, 231 |
| 7 | 137, 157, 21, 25, 77 |
| 137, 157, 3, 25, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 137 x 157 x 3 x 25 x 11 = 4471721100
Therefore, the lowest common multiple of 548,157,756,450,693 is 4471721100.
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.
548 x 157 x 756 x 450 x 693 = 20283726909600
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.
548 : 1, 2, 4, 137, 274, 548
157 : 1, 157
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,157,756,450,693, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
157:157
756:2x 2x 3x 3x 3x 7
450:2x 3x 3x 5x 5
693:3x 3x 7x 11
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 3x 3x 7 = 4536
Therefore, the value for common factors is 4536.
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 = 20283726909600/(1x4536)
LCM = 20283726909600/4536
LCM = 4471721100
Thus, we can understand that the LCM of 548,157,756,450,693 is 4471721100.
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FAQs on LCM of 548, 157, 756, 450, 693
1. What is the LCM of 548, 157, 756, 450, 693?
Answer: LCM of 548, 157, 756, 450, 693 is 4471721100.
2. How to calculate the LCM of 548, 157, 756, 450, 693?
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 548, 157, 756, 450, 693.
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}.