LCM of 513, 890, 168, 445, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 890, 168, 445, 685 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 513, 890, 168, 445, 685. So, keep reading to learn more.
Given numbers are 513,890,168,445,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,890,168,445,685 is 1751402520.
Find LCM of 513,890,168,445,685 with Prime Factorization
| 2 | 513, 890, 168, 445, 685 |
| 3 | 513, 445, 84, 445, 685 |
| 5 | 171, 445, 28, 445, 685 |
| 89 | 171, 89, 28, 89, 137 |
| 171, 1, 28, 1, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 89 x 171 x 1 x 28 x 1 x 137 = 1751402520
Therefore, the lowest common multiple of 513,890,168,445,685 is 1751402520.
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.
513 x 890 x 168 x 445 x 685 = 23381223642000
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
890 : 1, 2, 5, 10, 89, 178, 445, 890
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
445 : 1, 5, 89, 445
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,890,168,445,685, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
890:2x 5x 89
168:2x 2x 2x 3x 7
445:5x 89
685:5x 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 3x 5x 5x 89 = 13350
Therefore, the value for common factors is 13350.
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 = 23381223642000/(1x13350)
LCM = 23381223642000/13350
LCM = 1751402520
Thus, we can understand that the LCM of 513,890,168,445,685 is 1751402520.
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FAQs on LCM of 513, 890, 168, 445, 685
1. What is the LCM of 513, 890, 168, 445, 685?
Answer: LCM of 513, 890, 168, 445, 685 is 1751402520.
2. How to calculate the LCM of 513, 890, 168, 445, 685?
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 513, 890, 168, 445, 685.
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}.