LCM of 552, 551, 812, 154, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 551, 812, 154, 902 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 552, 551, 812, 154, 902. So, keep reading to learn more.
Given numbers are 552,551,812,154,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,551,812,154,902 is 960207864.
Find LCM of 552,551,812,154,902 with Prime Factorization
| 2 | 552, 551, 812, 154, 902 |
| 2 | 276, 551, 406, 77, 451 |
| 7 | 138, 551, 203, 77, 451 |
| 11 | 138, 551, 29, 11, 451 |
| 29 | 138, 551, 29, 1, 41 |
| 138, 19, 1, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 29 x 138 x 19 x 1 x 1 x 41 = 960207864
Therefore, the lowest common multiple of 552,551,812,154,902 is 960207864.
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.
552 x 551 x 812 x 154 x 902 = 34306306564992
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
551 : 1, 19, 29, 551
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
154 : 1, 2, 7, 11, 14, 22, 77, 154
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,551,812,154,902, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
551:19x 29
812:2x 2x 7x 29
154:2x 7x 11
902:2x 11x 41
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 7x 11x 29 = 35728
Therefore, the value for common factors is 35728.
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 = 34306306564992/(1x35728)
LCM = 34306306564992/35728
LCM = 960207864
Thus, we can understand that the LCM of 552,551,812,154,902 is 960207864.
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FAQs on LCM of 552, 551, 812, 154, 902
1. What is the LCM of 552, 551, 812, 154, 902?
Answer: LCM of 552, 551, 812, 154, 902 is 960207864.
2. How to calculate the LCM of 552, 551, 812, 154, 902?
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 552, 551, 812, 154, 902.
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}.