LCM of 491, 924, 520, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 924, 520, 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 491, 924, 520, 858. So, keep reading to learn more.
Given numbers are 491,924,520,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,924,520,858 is 58978920.
Find LCM of 491,924,520,858 with Prime Factorization
| 2 | 491, 924, 520, 858 |
| 2 | 491, 462, 260, 429 |
| 3 | 491, 231, 130, 429 |
| 11 | 491, 77, 130, 143 |
| 13 | 491, 7, 130, 13 |
| 491, 7, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 491 x 7 x 10 x 1 = 58978920
Therefore, the lowest common multiple of 491,924,520,858 is 58978920.
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.
491 x 924 x 520 x 858 = 202415653440
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.
491 : 1, 491
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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 491,924,520,858, is 1.
Now, the common factors can be found like this.
491:491
924:2x 2x 3x 7x 11
520:2x 2x 2x 5x 13
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 3x 11x 13 = 3432
Therefore, the value for common factors is 3432.
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 = 202415653440/(1x3432)
LCM = 202415653440/3432
LCM = 58978920
Thus, we can understand that the LCM of 491,924,520,858 is 58978920.
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FAQs on LCM of 491, 924, 520, 858
1. What is the LCM of 491, 924, 520, 858?
Answer: LCM of 491, 924, 520, 858 is 58978920.
2. How to calculate the LCM of 491, 924, 520, 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 491, 924, 520, 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}.