LCM of 656, 980, 226, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 656, 980, 226, 896 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 656, 980, 226, 896. So, keep reading to learn more.
Given numbers are 656,980,226,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 656,980,226,896 is 145290880.
Find LCM of 656,980,226,896 with Prime Factorization
| 2 | 656, 980, 226, 896 |
| 2 | 328, 490, 113, 448 |
| 2 | 164, 245, 113, 224 |
| 2 | 82, 245, 113, 112 |
| 7 | 41, 245, 113, 56 |
| 41, 35, 113, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 41 x 35 x 113 x 8 = 145290880
Therefore, the lowest common multiple of 656,980,226,896 is 145290880.
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.
656 x 980 x 226 x 896 = 130180628480
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.
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
226 : 1, 2, 113, 226
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,980,226,896, is 2.
Now, the common factors can be found like this.
656:2x 2x 2x 2x 41
980:2x 2x 5x 7x 7
226:2x 113
896:2x 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 7 = 448
Therefore, the value for common factors is 448.
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 = 130180628480/(2x448)
LCM = 130180628480/896
LCM = 145290880
Thus, we can understand that the LCM of 656,980,226,896 is 145290880.
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FAQs on LCM of 656, 980, 226, 896
1. What is the LCM of 656, 980, 226, 896?
Answer: LCM of 656, 980, 226, 896 is 145290880.
2. How to calculate the LCM of 656, 980, 226, 896?
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 656, 980, 226, 896.
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}.