LCM of 520, 674, 234, 618, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 674, 234, 618, 442 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 520, 674, 234, 618, 442. So, keep reading to learn more.
Given numbers are 520,674,234,618,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,674,234,618,442 is 2761607160.
Find LCM of 520,674,234,618,442 with Prime Factorization
| 2 | 520, 674, 234, 618, 442 |
| 3 | 260, 337, 117, 309, 221 |
| 13 | 260, 337, 39, 103, 221 |
| 20, 337, 3, 103, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 20 x 337 x 3 x 103 x 17 = 2761607160
Therefore, the lowest common multiple of 520,674,234,618,442 is 2761607160.
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.
520 x 674 x 234 x 618 x 442 = 22402157281920
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
674 : 1, 2, 337, 674
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
618 : 1, 2, 3, 6, 103, 206, 309, 618
442 : 1, 2, 13, 17, 26, 34, 221, 442
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,674,234,618,442, is 2.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
674:2x 337
234:2x 3x 3x 13
618:2x 3x 103
442:2x 13x 17
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 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 22402157281920/(2x4056)
LCM = 22402157281920/8112
LCM = 2761607160
Thus, we can understand that the LCM of 520,674,234,618,442 is 2761607160.
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FAQs on LCM of 520, 674, 234, 618, 442
1. What is the LCM of 520, 674, 234, 618, 442?
Answer: LCM of 520, 674, 234, 618, 442 is 2761607160.
2. How to calculate the LCM of 520, 674, 234, 618, 442?
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 520, 674, 234, 618, 442.
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}.