LCM of 874, 986, 493, 506, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 986, 493, 506, 548 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 874, 986, 493, 506, 548. So, keep reading to learn more.
Given numbers are 874,986,493,506,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,986,493,506,548 is 1298678348.
Find LCM of 874,986,493,506,548 with Prime Factorization
| 2 | 874, 986, 493, 506, 548 |
| 17 | 437, 493, 493, 253, 274 |
| 23 | 437, 29, 29, 253, 274 |
| 29 | 19, 29, 29, 11, 274 |
| 19, 1, 1, 11, 274 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 29 x 19 x 1 x 1 x 11 x 274 = 1298678348
Therefore, the lowest common multiple of 874,986,493,506,548 is 1298678348.
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.
874 x 986 x 493 x 506 x 548 = 117805710303776
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
986 : 1, 2, 17, 29, 34, 58, 493, 986
493 : 1, 17, 29, 493
506 : 1, 2, 11, 22, 23, 46, 253, 506
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,986,493,506,548, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
986:2x 17x 29
493:17x 29
506:2x 11x 23
548:2x 2x 137
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 17x 23x 29 = 90712
Therefore, the value for common factors is 90712.
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 = 117805710303776/(1x90712)
LCM = 117805710303776/90712
LCM = 1298678348
Thus, we can understand that the LCM of 874,986,493,506,548 is 1298678348.
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FAQs on LCM of 874, 986, 493, 506, 548
1. What is the LCM of 874, 986, 493, 506, 548?
Answer: LCM of 874, 986, 493, 506, 548 is 1298678348.
2. How to calculate the LCM of 874, 986, 493, 506, 548?
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 874, 986, 493, 506, 548.
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}.