LCM of 491, 572, 882, 525, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 572, 882, 525, 949 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, 572, 882, 525, 949. So, keep reading to learn more.
Given numbers are 491,572,882,525,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,572,882,525,949 is 226036710900.
Find LCM of 491,572,882,525,949 with Prime Factorization
| 2 | 491, 572, 882, 525, 949 |
| 3 | 491, 286, 441, 525, 949 |
| 7 | 491, 286, 147, 175, 949 |
| 13 | 491, 286, 21, 25, 949 |
| 491, 22, 21, 25, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 491 x 22 x 21 x 25 x 73 = 226036710900
Therefore, the lowest common multiple of 491,572,882,525,949 is 226036710900.
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 572 x 882 x 525 x 949 = 123416044151400
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,572,882,525,949, is 1.
Now, the common factors can be found like this.
491:491
572:2x 2x 11x 13
882:2x 3x 3x 7x 7
525:3x 5x 5x 7
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 123416044151400/(1x546)
LCM = 123416044151400/546
LCM = 226036710900
Thus, we can understand that the LCM of 491,572,882,525,949 is 226036710900.
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FAQs on LCM of 491, 572, 882, 525, 949
1. What is the LCM of 491, 572, 882, 525, 949?
Answer: LCM of 491, 572, 882, 525, 949 is 226036710900.
2. How to calculate the LCM of 491, 572, 882, 525, 949?
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, 572, 882, 525, 949.
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}.