LCM of 732, 705, 543, 618, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 705, 543, 618, 515 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 732, 705, 543, 618, 515. So, keep reading to learn more.
Given numbers are 732,705,543,618,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,705,543,618,515 is 3206968860.
Find LCM of 732,705,543,618,515 with Prime Factorization
| 2 | 732, 705, 543, 618, 515 |
| 3 | 366, 705, 543, 309, 515 |
| 5 | 122, 235, 181, 103, 515 |
| 103 | 122, 47, 181, 103, 103 |
| 122, 47, 181, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 103 x 122 x 47 x 181 x 1 x 1 = 3206968860
Therefore, the lowest common multiple of 732,705,543,618,515 is 3206968860.
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.
732 x 705 x 543 x 618 x 515 = 89185803996600
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
705 : 1, 3, 5, 15, 47, 141, 235, 705
543 : 1, 3, 181, 543
618 : 1, 2, 3, 6, 103, 206, 309, 618
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,705,543,618,515, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
705:3x 5x 47
543:3x 181
618:2x 3x 103
515:5x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 103 = 27810
Therefore, the value for common factors is 27810.
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 = 89185803996600/(1x27810)
LCM = 89185803996600/27810
LCM = 3206968860
Thus, we can understand that the LCM of 732,705,543,618,515 is 3206968860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 732, 705, 543, 618, 515
1. What is the LCM of 732, 705, 543, 618, 515?
Answer: LCM of 732, 705, 543, 618, 515 is 3206968860.
2. How to calculate the LCM of 732, 705, 543, 618, 515?
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 732, 705, 543, 618, 515.
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}.