LCM of 491, 462, 890, 913, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 462, 890, 913, 402 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, 462, 890, 913, 402. So, keep reading to learn more.
Given numbers are 491,462,890,913,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,462,890,913,402 is 561353421090.
Find LCM of 491,462,890,913,402 with Prime Factorization
| 2 | 491, 462, 890, 913, 402 |
| 3 | 491, 231, 445, 913, 201 |
| 11 | 491, 77, 445, 913, 67 |
| 491, 7, 445, 83, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 491 x 7 x 445 x 83 x 67 = 561353421090
Therefore, the lowest common multiple of 491,462,890,913,402 is 561353421090.
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 462 x 890 x 913 x 402 = 74098651583880
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
890 : 1, 2, 5, 10, 89, 178, 445, 890
913 : 1, 11, 83, 913
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,462,890,913,402, is 1.
Now, the common factors can be found like this.
491:491
462:2x 3x 7x 11
890:2x 5x 89
913:11x 83
402:2x 3x 67
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 74098651583880/(1x132)
LCM = 74098651583880/132
LCM = 561353421090
Thus, we can understand that the LCM of 491,462,890,913,402 is 561353421090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 491, 462, 890, 913, 402
1. What is the LCM of 491, 462, 890, 913, 402?
Answer: LCM of 491, 462, 890, 913, 402 is 561353421090.
2. How to calculate the LCM of 491, 462, 890, 913, 402?
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, 462, 890, 913, 402.
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}.