LCM of 257, 604, 828, 658, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 604, 828, 658, 690 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 257, 604, 828, 658, 690. So, keep reading to learn more.
Given numbers are 257,604,828,658,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,604,828,658,690 is 52857462420.
Find LCM of 257,604,828,658,690 with Prime Factorization
| 2 | 257, 604, 828, 658, 690 |
| 2 | 257, 302, 414, 329, 345 |
| 3 | 257, 151, 207, 329, 345 |
| 23 | 257, 151, 69, 329, 115 |
| 257, 151, 3, 329, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 257 x 151 x 3 x 329 x 5 = 52857462420
Therefore, the lowest common multiple of 257,604,828,658,690 is 52857462420.
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.
257 x 604 x 828 x 658 x 690 = 58354638511680
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.
257 : 1, 257
604 : 1, 2, 4, 151, 302, 604
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
658 : 1, 2, 7, 14, 47, 94, 329, 658
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,604,828,658,690, is 1.
Now, the common factors can be found like this.
257:257
604:2x 2x 151
828:2x 2x 3x 3x 23
658:2x 7x 47
690:2x 3x 5x 23
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 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 58354638511680/(1x1104)
LCM = 58354638511680/1104
LCM = 52857462420
Thus, we can understand that the LCM of 257,604,828,658,690 is 52857462420.
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FAQs on LCM of 257, 604, 828, 658, 690
1. What is the LCM of 257, 604, 828, 658, 690?
Answer: LCM of 257, 604, 828, 658, 690 is 52857462420.
2. How to calculate the LCM of 257, 604, 828, 658, 690?
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 257, 604, 828, 658, 690.
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}.