LCM of 830, 780, 249, 494, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 780, 249, 494, 781 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 830, 780, 249, 494, 781. So, keep reading to learn more.
Given numbers are 830,780,249,494,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,780,249,494,781 is 960676860.
Find LCM of 830,780,249,494,781 with Prime Factorization
| 2 | 830, 780, 249, 494, 781 |
| 3 | 415, 390, 249, 247, 781 |
| 5 | 415, 130, 83, 247, 781 |
| 13 | 83, 26, 83, 247, 781 |
| 83 | 83, 2, 83, 19, 781 |
| 1, 2, 1, 19, 781 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 83 x 1 x 2 x 1 x 19 x 781 = 960676860
Therefore, the lowest common multiple of 830,780,249,494,781 is 960676860.
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.
830 x 780 x 249 x 494 x 781 = 62194219916400
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
249 : 1, 3, 83, 249
494 : 1, 2, 13, 19, 26, 38, 247, 494
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,780,249,494,781, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
780:2x 2x 3x 5x 13
249:3x 83
494:2x 13x 19
781:11x 71
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 5x 13x 83 = 64740
Therefore, the value for common factors is 64740.
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 = 62194219916400/(1x64740)
LCM = 62194219916400/64740
LCM = 960676860
Thus, we can understand that the LCM of 830,780,249,494,781 is 960676860.
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FAQs on LCM of 830, 780, 249, 494, 781
1. What is the LCM of 830, 780, 249, 494, 781?
Answer: LCM of 830, 780, 249, 494, 781 is 960676860.
2. How to calculate the LCM of 830, 780, 249, 494, 781?
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 830, 780, 249, 494, 781.
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}.