LCM of 906, 551, 846, 548, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 551, 846, 548, 510 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 906, 551, 846, 548, 510. So, keep reading to learn more.
Given numbers are 906,551,846,548,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,551,846,548,510 is 1639337591340.
Find LCM of 906,551,846,548,510 with Prime Factorization
| 2 | 906, 551, 846, 548, 510 |
| 3 | 453, 551, 423, 274, 255 |
| 151, 551, 141, 274, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 551 x 141 x 274 x 85 = 1639337591340
Therefore, the lowest common multiple of 906,551,846,548,510 is 1639337591340.
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.
906 x 551 x 846 x 548 x 510 = 118032306576480
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
551 : 1, 19, 29, 551
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
548 : 1, 2, 4, 137, 274, 548
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,551,846,548,510, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
551:19x 29
846:2x 3x 3x 47
548:2x 2x 137
510:2x 3x 5x 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 3 = 72
Therefore, the value for common factors is 72.
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 = 118032306576480/(1x72)
LCM = 118032306576480/72
LCM = 1639337591340
Thus, we can understand that the LCM of 906,551,846,548,510 is 1639337591340.
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FAQs on LCM of 906, 551, 846, 548, 510
1. What is the LCM of 906, 551, 846, 548, 510?
Answer: LCM of 906, 551, 846, 548, 510 is 1639337591340.
2. How to calculate the LCM of 906, 551, 846, 548, 510?
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 906, 551, 846, 548, 510.
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}.