LCM of 714, 753, 560, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 753, 560, 136 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 714, 753, 560, 136. So, keep reading to learn more.
Given numbers are 714,753,560,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,753,560,136 is 7168560.
Find LCM of 714,753,560,136 with Prime Factorization
| 2 | 714, 753, 560, 136 |
| 2 | 357, 753, 280, 68 |
| 2 | 357, 753, 140, 34 |
| 3 | 357, 753, 70, 17 |
| 7 | 119, 251, 70, 17 |
| 17 | 17, 251, 10, 17 |
| 1, 251, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 1 x 251 x 10 x 1 = 7168560
Therefore, the lowest common multiple of 714,753,560,136 is 7168560.
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.
714 x 753 x 560 x 136 = 40946814720
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
753 : 1, 3, 251, 753
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,753,560,136, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
753:3x 251
560:2x 2x 2x 2x 5x 7
136:2x 2x 2x 17
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 2x 3x 7x 17 = 5712
Therefore, the value for common factors is 5712.
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 = 40946814720/(1x5712)
LCM = 40946814720/5712
LCM = 7168560
Thus, we can understand that the LCM of 714,753,560,136 is 7168560.
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FAQs on LCM of 714, 753, 560, 136
1. What is the LCM of 714, 753, 560, 136?
Answer: LCM of 714, 753, 560, 136 is 7168560.
2. How to calculate the LCM of 714, 753, 560, 136?
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 714, 753, 560, 136.
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}.