LCM of 735, 273, 725, 638, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 273, 725, 638, 611 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 735, 273, 725, 638, 611. So, keep reading to learn more.
Given numbers are 735,273,725,638,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,273,725,638,611 is 1432581150.
Find LCM of 735,273,725,638,611 with Prime Factorization
| 3 | 735, 273, 725, 638, 611 |
| 5 | 245, 91, 725, 638, 611 |
| 7 | 49, 91, 145, 638, 611 |
| 13 | 7, 13, 145, 638, 611 |
| 29 | 7, 1, 145, 638, 47 |
| 7, 1, 5, 22, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 29 x 7 x 1 x 5 x 22 x 47 = 1432581150
Therefore, the lowest common multiple of 735,273,725,638,611 is 1432581150.
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.
735 x 273 x 725 x 638 x 611 = 56708724822750
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
273 : 1, 3, 7, 13, 21, 39, 91, 273
725 : 1, 5, 25, 29, 145, 725
638 : 1, 2, 11, 22, 29, 58, 319, 638
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,273,725,638,611, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
273:3x 7x 13
725:5x 5x 29
638:2x 11x 29
611:13x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 13x 29 = 39585
Therefore, the value for common factors is 39585.
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 = 56708724822750/(1x39585)
LCM = 56708724822750/39585
LCM = 1432581150
Thus, we can understand that the LCM of 735,273,725,638,611 is 1432581150.
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FAQs on LCM of 735, 273, 725, 638, 611
1. What is the LCM of 735, 273, 725, 638, 611?
Answer: LCM of 735, 273, 725, 638, 611 is 1432581150.
2. How to calculate the LCM of 735, 273, 725, 638, 611?
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 735, 273, 725, 638, 611.
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}.