LCM of 784, 924, 178, 219, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 924, 178, 219, 271 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, 924, 178, 219, 271. So, keep reading to learn more.
Given numbers are 784,924,178,219,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,924,178,219,271 is 45552494064.
Find LCM of 784,924,178,219,271 with Prime Factorization
| 2 | 784, 924, 178, 219, 271 |
| 2 | 392, 462, 89, 219, 271 |
| 3 | 196, 231, 89, 219, 271 |
| 7 | 196, 77, 89, 73, 271 |
| 28, 11, 89, 73, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 28 x 11 x 89 x 73 x 271 = 45552494064
Therefore, the lowest common multiple of 784,924,178,219,271 is 45552494064.
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 924 x 178 x 219 x 271 = 7652819002752
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
178 : 1, 2, 89, 178
219 : 1, 3, 73, 219
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,924,178,219,271, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
924:2x 2x 3x 7x 11
178:2x 89
219:3x 73
271:271
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 7652819002752/(1x168)
LCM = 7652819002752/168
LCM = 45552494064
Thus, we can understand that the LCM of 784,924,178,219,271 is 45552494064.
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FAQs on LCM of 784, 924, 178, 219, 271
1. What is the LCM of 784, 924, 178, 219, 271?
Answer: LCM of 784, 924, 178, 219, 271 is 45552494064.
2. How to calculate the LCM of 784, 924, 178, 219, 271?
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, 924, 178, 219, 271.
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}.