LCM of 824, 956, 672, 268, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 956, 672, 268, 350 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 824, 956, 672, 268, 350. So, keep reading to learn more.
Given numbers are 824,956,672,268,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,956,672,268,350 is 27708895200.
Find LCM of 824,956,672,268,350 with Prime Factorization
| 2 | 824, 956, 672, 268, 350 |
| 2 | 412, 478, 336, 134, 175 |
| 2 | 206, 239, 168, 67, 175 |
| 7 | 103, 239, 84, 67, 175 |
| 103, 239, 12, 67, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 103 x 239 x 12 x 67 x 25 = 27708895200
Therefore, the lowest common multiple of 824,956,672,268,350 is 27708895200.
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.
824 x 956 x 672 x 268 x 350 = 49654340198400
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
956 : 1, 2, 4, 239, 478, 956
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
268 : 1, 2, 4, 67, 134, 268
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,956,672,268,350, is 2.
Now, the common factors can be found like this.
824:2x 2x 2x 103
956:2x 2x 239
672:2x 2x 2x 2x 2x 3x 7
268:2x 2x 67
350:2x 5x 5x 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 7 = 896
Therefore, the value for common factors is 896.
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 = 49654340198400/(2x896)
LCM = 49654340198400/1792
LCM = 27708895200
Thus, we can understand that the LCM of 824,956,672,268,350 is 27708895200.
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FAQs on LCM of 824, 956, 672, 268, 350
1. What is the LCM of 824, 956, 672, 268, 350?
Answer: LCM of 824, 956, 672, 268, 350 is 27708895200.
2. How to calculate the LCM of 824, 956, 672, 268, 350?
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 824, 956, 672, 268, 350.
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}.