LCM of 269, 676, 949, 824, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 676, 949, 824, 858 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 269, 676, 949, 824, 858. So, keep reading to learn more.
Given numbers are 269,676,949,824,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,676,949,824,858 is 90240812376.
Find LCM of 269,676,949,824,858 with Prime Factorization
| 2 | 269, 676, 949, 824, 858 |
| 2 | 269, 338, 949, 412, 429 |
| 13 | 269, 169, 949, 206, 429 |
| 269, 13, 73, 206, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 269 x 13 x 73 x 206 x 33 = 90240812376
Therefore, the lowest common multiple of 269,676,949,824,858 is 90240812376.
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.
269 x 676 x 949 x 824 x 858 = 122005578332352
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.
269 : 1, 269
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
949 : 1, 13, 73, 949
824 : 1, 2, 4, 8, 103, 206, 412, 824
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,676,949,824,858, is 1.
Now, the common factors can be found like this.
269:269
676:2x 2x 13x 13
949:13x 73
824:2x 2x 2x 103
858:2x 3x 11x 13
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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 122005578332352/(1x1352)
LCM = 122005578332352/1352
LCM = 90240812376
Thus, we can understand that the LCM of 269,676,949,824,858 is 90240812376.
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FAQs on LCM of 269, 676, 949, 824, 858
1. What is the LCM of 269, 676, 949, 824, 858?
Answer: LCM of 269, 676, 949, 824, 858 is 90240812376.
2. How to calculate the LCM of 269, 676, 949, 824, 858?
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 269, 676, 949, 824, 858.
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}.