LCM of 268, 854, 314, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 854, 314, 472 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 268, 854, 314, 472. So, keep reading to learn more.
Given numbers are 268,854,314,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,854,314,472 is 2120041336.
Find LCM of 268,854,314,472 with Prime Factorization
| 2 | 268, 854, 314, 472 |
| 2 | 134, 427, 157, 236 |
| 67, 427, 157, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 427 x 157 x 118 = 2120041336
Therefore, the lowest common multiple of 268,854,314,472 is 2120041336.
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.
268 x 854 x 314 x 472 = 33920661376
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.
268 : 1, 2, 4, 67, 134, 268
854 : 1, 2, 7, 14, 61, 122, 427, 854
314 : 1, 2, 157, 314
472 : 1, 2, 4, 8, 59, 118, 236, 472
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,854,314,472, is 2.
Now, the common factors can be found like this.
268:2x 2x 67
854:2x 7x 61
314:2x 157
472:2x 2x 2x 59
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 2 = 8
Therefore, the value for common factors is 8.
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 = 33920661376/(2x8)
LCM = 33920661376/16
LCM = 2120041336
Thus, we can understand that the LCM of 268,854,314,472 is 2120041336.
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FAQs on LCM of 268, 854, 314, 472
1. What is the LCM of 268, 854, 314, 472?
Answer: LCM of 268, 854, 314, 472 is 2120041336.
2. How to calculate the LCM of 268, 854, 314, 472?
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 268, 854, 314, 472.
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}.