LCM of 824, 916, 768, 574, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 916, 768, 574, 306 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, 916, 768, 574, 306. So, keep reading to learn more.
Given numbers are 824,916,768,574,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,916,768,574,306 is 265146561792.
Find LCM of 824,916,768,574,306 with Prime Factorization
| 2 | 824, 916, 768, 574, 306 |
| 2 | 412, 458, 384, 287, 153 |
| 2 | 206, 229, 192, 287, 153 |
| 3 | 103, 229, 96, 287, 153 |
| 103, 229, 32, 287, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 103 x 229 x 32 x 287 x 51 = 265146561792
Therefore, the lowest common multiple of 824,916,768,574,306 is 265146561792.
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 916 x 768 x 574 x 306 = 101816279728128
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
916 : 1, 2, 4, 229, 458, 916
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
574 : 1, 2, 7, 14, 41, 82, 287, 574
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,916,768,574,306, is 2.
Now, the common factors can be found like this.
824:2x 2x 2x 103
916:2x 2x 229
768:2x 2x 2x 2x 2x 2x 2x 2x 3
574:2x 7x 41
306:2x 3x 3x 17
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 3 = 192
Therefore, the value for common factors is 192.
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 = 101816279728128/(2x192)
LCM = 101816279728128/384
LCM = 265146561792
Thus, we can understand that the LCM of 824,916,768,574,306 is 265146561792.
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FAQs on LCM of 824, 916, 768, 574, 306
1. What is the LCM of 824, 916, 768, 574, 306?
Answer: LCM of 824, 916, 768, 574, 306 is 265146561792.
2. How to calculate the LCM of 824, 916, 768, 574, 306?
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, 916, 768, 574, 306.
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}.