LCM of 625, 806, 735, 724, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 806, 735, 724, 539 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 625, 806, 735, 724, 539. So, keep reading to learn more.
Given numbers are 625,806,735,724,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,806,735,724,539 is 294872077500.
Find LCM of 625,806,735,724,539 with Prime Factorization
| 2 | 625, 806, 735, 724, 539 |
| 5 | 625, 403, 735, 362, 539 |
| 7 | 125, 403, 147, 362, 539 |
| 7 | 125, 403, 21, 362, 77 |
| 125, 403, 3, 362, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 125 x 403 x 3 x 362 x 11 = 294872077500
Therefore, the lowest common multiple of 625,806,735,724,539 is 294872077500.
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.
625 x 806 x 735 x 724 x 539 = 144487317975000
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.
625 : 1, 5, 25, 125, 625
806 : 1, 2, 13, 26, 31, 62, 403, 806
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
724 : 1, 2, 4, 181, 362, 724
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,806,735,724,539, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
806:2x 13x 31
735:3x 5x 7x 7
724:2x 2x 181
539:7x 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 5x 7x 7 = 490
Therefore, the value for common factors is 490.
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 = 144487317975000/(1x490)
LCM = 144487317975000/490
LCM = 294872077500
Thus, we can understand that the LCM of 625,806,735,724,539 is 294872077500.
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FAQs on LCM of 625, 806, 735, 724, 539
1. What is the LCM of 625, 806, 735, 724, 539?
Answer: LCM of 625, 806, 735, 724, 539 is 294872077500.
2. How to calculate the LCM of 625, 806, 735, 724, 539?
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 625, 806, 735, 724, 539.
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}.