LCM of 724, 250, 613, 665, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 250, 613, 665, 614 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 724, 250, 613, 665, 614. So, keep reading to learn more.
Given numbers are 724,250,613,665,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,250,613,665,614 is 2265160971500.
Find LCM of 724,250,613,665,614 with Prime Factorization
| 2 | 724, 250, 613, 665, 614 |
| 5 | 362, 125, 613, 665, 307 |
| 362, 25, 613, 133, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 362 x 25 x 613 x 133 x 307 = 2265160971500
Therefore, the lowest common multiple of 724,250,613,665,614 is 2265160971500.
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.
724 x 250 x 613 x 665 x 614 = 45303219430000
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.
724 : 1, 2, 4, 181, 362, 724
250 : 1, 2, 5, 10, 25, 50, 125, 250
613 : 1, 613
665 : 1, 5, 7, 19, 35, 95, 133, 665
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,250,613,665,614, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
250:2x 5x 5x 5
613:613
665:5x 7x 19
614:2x 307
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 5 = 20
Therefore, the value for common factors is 20.
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 = 45303219430000/(1x20)
LCM = 45303219430000/20
LCM = 2265160971500
Thus, we can understand that the LCM of 724,250,613,665,614 is 2265160971500.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 724, 250, 613, 665, 614
1. What is the LCM of 724, 250, 613, 665, 614?
Answer: LCM of 724, 250, 613, 665, 614 is 2265160971500.
2. How to calculate the LCM of 724, 250, 613, 665, 614?
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 724, 250, 613, 665, 614.
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}.