LCM of 916, 688, 784, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 688, 784, 448 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 916, 688, 784, 448. So, keep reading to learn more.
Given numbers are 916,688,784,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,688,784,448 is 30880192.
Find LCM of 916,688,784,448 with Prime Factorization
| 2 | 916, 688, 784, 448 |
| 2 | 458, 344, 392, 224 |
| 2 | 229, 172, 196, 112 |
| 2 | 229, 86, 98, 56 |
| 7 | 229, 43, 49, 28 |
| 229, 43, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 229 x 43 x 7 x 4 = 30880192
Therefore, the lowest common multiple of 916,688,784,448 is 30880192.
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.
916 x 688 x 784 x 448 = 221349216256
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.
916 : 1, 2, 4, 229, 458, 916
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,688,784,448, is 4.
Now, the common factors can be found like this.
916:2x 2x 229
688:2x 2x 2x 2x 43
784:2x 2x 2x 2x 7x 7
448:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 7 = 1792
Therefore, the value for common factors is 1792.
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 = 221349216256/(4x1792)
LCM = 221349216256/7168
LCM = 30880192
Thus, we can understand that the LCM of 916,688,784,448 is 30880192.
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FAQs on LCM of 916, 688, 784, 448
1. What is the LCM of 916, 688, 784, 448?
Answer: LCM of 916, 688, 784, 448 is 30880192.
2. How to calculate the LCM of 916, 688, 784, 448?
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 916, 688, 784, 448.
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}.