LCM of 556, 476, 868, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 476, 868, 314 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 556, 476, 868, 314. So, keep reading to learn more.
Given numbers are 556,476,868,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,476,868,314 is 322020188.
Find LCM of 556,476,868,314 with Prime Factorization
| 2 | 556, 476, 868, 314 |
| 2 | 278, 238, 434, 157 |
| 7 | 139, 119, 217, 157 |
| 139, 17, 31, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 139 x 17 x 31 x 157 = 322020188
Therefore, the lowest common multiple of 556,476,868,314 is 322020188.
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.
556 x 476 x 868 x 314 = 72132522112
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.
556 : 1, 2, 4, 139, 278, 556
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,476,868,314, is 2.
Now, the common factors can be found like this.
556:2x 2x 139
476:2x 2x 7x 17
868:2x 2x 7x 31
314:2x 157
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 7 = 112
Therefore, the value for common factors is 112.
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 = 72132522112/(2x112)
LCM = 72132522112/224
LCM = 322020188
Thus, we can understand that the LCM of 556,476,868,314 is 322020188.
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FAQs on LCM of 556, 476, 868, 314
1. What is the LCM of 556, 476, 868, 314?
Answer: LCM of 556, 476, 868, 314 is 322020188.
2. How to calculate the LCM of 556, 476, 868, 314?
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 556, 476, 868, 314.
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}.