LCM of 784, 771, 289, 716, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 771, 289, 716, 168 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 784, 771, 289, 716, 168. So, keep reading to learn more.
Given numbers are 784,771,289,716,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,771,289,716,168 is 31269527184.
Find LCM of 784,771,289,716,168 with Prime Factorization
| 2 | 784, 771, 289, 716, 168 |
| 2 | 392, 771, 289, 358, 84 |
| 2 | 196, 771, 289, 179, 42 |
| 3 | 98, 771, 289, 179, 21 |
| 7 | 98, 257, 289, 179, 7 |
| 14, 257, 289, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 14 x 257 x 289 x 179 x 1 = 31269527184
Therefore, the lowest common multiple of 784,771,289,716,168 is 31269527184.
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.
784 x 771 x 289 x 716 x 168 = 21013122267648
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
771 : 1, 3, 257, 771
289 : 1, 17, 289
716 : 1, 2, 4, 179, 358, 716
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,771,289,716,168, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
771:3x 257
289:17x 17
716:2x 2x 179
168:2x 2x 2x 3x 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 2x 2x 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 21013122267648/(1x672)
LCM = 21013122267648/672
LCM = 31269527184
Thus, we can understand that the LCM of 784,771,289,716,168 is 31269527184.
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FAQs on LCM of 784, 771, 289, 716, 168
1. What is the LCM of 784, 771, 289, 716, 168?
Answer: LCM of 784, 771, 289, 716, 168 is 31269527184.
2. How to calculate the LCM of 784, 771, 289, 716, 168?
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 784, 771, 289, 716, 168.
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}.