LCM of 258, 551, 527, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 551, 527, 852 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 258, 551, 527, 852. So, keep reading to learn more.
Given numbers are 258,551,527,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,551,527,852 is 10638251772.
Find LCM of 258,551,527,852 with Prime Factorization
| 2 | 258, 551, 527, 852 |
| 3 | 129, 551, 527, 426 |
| 43, 551, 527, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 551 x 527 x 142 = 10638251772
Therefore, the lowest common multiple of 258,551,527,852 is 10638251772.
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.
258 x 551 x 527 x 852 = 63829510632
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
551 : 1, 19, 29, 551
527 : 1, 17, 31, 527
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,551,527,852, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
551:19x 29
527:17x 31
852:2x 2x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 63829510632/(1x6)
LCM = 63829510632/6
LCM = 10638251772
Thus, we can understand that the LCM of 258,551,527,852 is 10638251772.
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FAQs on LCM of 258, 551, 527, 852
1. What is the LCM of 258, 551, 527, 852?
Answer: LCM of 258, 551, 527, 852 is 10638251772.
2. How to calculate the LCM of 258, 551, 527, 852?
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 258, 551, 527, 852.
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}.