LCM of 714, 213, 784, 169, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 213, 784, 169, 175 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, 213, 784, 169, 175. So, keep reading to learn more.
Given numbers are 714,213,784,169,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,213,784,169,175 is 11994200400.
Find LCM of 714,213,784,169,175 with Prime Factorization
| 2 | 714, 213, 784, 169, 175 |
| 3 | 357, 213, 392, 169, 175 |
| 7 | 119, 71, 392, 169, 175 |
| 17, 71, 56, 169, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 71 x 56 x 169 x 25 = 11994200400
Therefore, the lowest common multiple of 714,213,784,169,175 is 11994200400.
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 213 x 784 x 169 x 175 = 3526294917600
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
213 : 1, 3, 71, 213
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
169 : 1, 13, 169
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,213,784,169,175, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
213:3x 71
784:2x 2x 2x 2x 7x 7
169:13x 13
175:5x 5x 7
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 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 3526294917600/(1x294)
LCM = 3526294917600/294
LCM = 11994200400
Thus, we can understand that the LCM of 714,213,784,169,175 is 11994200400.
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FAQs on LCM of 714, 213, 784, 169, 175
1. What is the LCM of 714, 213, 784, 169, 175?
Answer: LCM of 714, 213, 784, 169, 175 is 11994200400.
2. How to calculate the LCM of 714, 213, 784, 169, 175?
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, 213, 784, 169, 175.
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}.