LCM of 477, 760, 830, 914, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 760, 830, 914, 498 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 477, 760, 830, 914, 498. So, keep reading to learn more.
Given numbers are 477,760,830,914,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,760,830,914,498 is 13750746120.
Find LCM of 477,760,830,914,498 with Prime Factorization
| 2 | 477, 760, 830, 914, 498 |
| 3 | 477, 380, 415, 457, 249 |
| 5 | 159, 380, 415, 457, 83 |
| 83 | 159, 76, 83, 457, 83 |
| 159, 76, 1, 457, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 83 x 159 x 76 x 1 x 457 x 1 = 13750746120
Therefore, the lowest common multiple of 477,760,830,914,498 is 13750746120.
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.
477 x 760 x 830 x 914 x 498 = 136957431355200
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.
477 : 1, 3, 9, 53, 159, 477
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
830 : 1, 2, 5, 10, 83, 166, 415, 830
914 : 1, 2, 457, 914
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,760,830,914,498, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
760:2x 2x 2x 5x 19
830:2x 5x 83
914:2x 457
498:2x 3x 83
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 5x 83 = 9960
Therefore, the value for common factors is 9960.
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 = 136957431355200/(1x9960)
LCM = 136957431355200/9960
LCM = 13750746120
Thus, we can understand that the LCM of 477,760,830,914,498 is 13750746120.
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FAQs on LCM of 477, 760, 830, 914, 498
1. What is the LCM of 477, 760, 830, 914, 498?
Answer: LCM of 477, 760, 830, 914, 498 is 13750746120.
2. How to calculate the LCM of 477, 760, 830, 914, 498?
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 477, 760, 830, 914, 498.
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}.