LCM of 491, 326, 490, 308, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 326, 490, 308, 524 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, 326, 490, 308, 524. So, keep reading to learn more.
Given numbers are 491,326,490,308,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,326,490,308,524 is 113021001940.
Find LCM of 491,326,490,308,524 with Prime Factorization
| 2 | 491, 326, 490, 308, 524 |
| 2 | 491, 163, 245, 154, 262 |
| 7 | 491, 163, 245, 77, 131 |
| 491, 163, 35, 11, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 491 x 163 x 35 x 11 x 131 = 113021001940
Therefore, the lowest common multiple of 491,326,490,308,524 is 113021001940.
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 326 x 490 x 308 x 524 = 12658352217280
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
326 : 1, 2, 163, 326
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,326,490,308,524, is 1.
Now, the common factors can be found like this.
491:491
326:2x 163
490:2x 5x 7x 7
308:2x 2x 7x 11
524:2x 2x 131
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 = 12658352217280/(1x112)
LCM = 12658352217280/112
LCM = 113021001940
Thus, we can understand that the LCM of 491,326,490,308,524 is 113021001940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 491, 326, 490, 308, 524
1. What is the LCM of 491, 326, 490, 308, 524?
Answer: LCM of 491, 326, 490, 308, 524 is 113021001940.
2. How to calculate the LCM of 491, 326, 490, 308, 524?
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, 326, 490, 308, 524.
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}.