LCM of 481, 520, 174, 988, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 520, 174, 988, 348 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 481, 520, 174, 988, 348. So, keep reading to learn more.
Given numbers are 481,520,174,988,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,520,174,988,348 is 31803720.
Find LCM of 481,520,174,988,348 with Prime Factorization
| 2 | 481, 520, 174, 988, 348 |
| 2 | 481, 260, 87, 494, 174 |
| 3 | 481, 130, 87, 247, 87 |
| 13 | 481, 130, 29, 247, 29 |
| 29 | 37, 10, 29, 19, 29 |
| 37, 10, 1, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 29 x 37 x 10 x 1 x 19 x 1 = 31803720
Therefore, the lowest common multiple of 481,520,174,988,348 is 31803720.
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.
481 x 520 x 174 x 988 x 348 = 14963523045120
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.
481 : 1, 13, 37, 481
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
174 : 1, 2, 3, 6, 29, 58, 87, 174
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,520,174,988,348, is 1.
Now, the common factors can be found like this.
481:13x 37
520:2x 2x 2x 5x 13
174:2x 3x 29
988:2x 2x 13x 19
348:2x 2x 3x 29
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 2x 3x 13x 13x 29 = 470496
Therefore, the value for common factors is 470496.
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 = 14963523045120/(1x470496)
LCM = 14963523045120/470496
LCM = 31803720
Thus, we can understand that the LCM of 481,520,174,988,348 is 31803720.
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FAQs on LCM of 481, 520, 174, 988, 348
1. What is the LCM of 481, 520, 174, 988, 348?
Answer: LCM of 481, 520, 174, 988, 348 is 31803720.
2. How to calculate the LCM of 481, 520, 174, 988, 348?
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 481, 520, 174, 988, 348.
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}.