LCM of 900, 323, 852, 841, 157
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 323, 852, 841, 157 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 900, 323, 852, 841, 157. So, keep reading to learn more.
Given numbers are 900,323,852,841,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,323,852,841,157 is 2725204068900.
Find LCM of 900,323,852,841,157 with Prime Factorization
| 2 | 900, 323, 852, 841, 157 |
| 2 | 450, 323, 426, 841, 157 |
| 3 | 225, 323, 213, 841, 157 |
| 75, 323, 71, 841, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 75 x 323 x 71 x 841 x 157 = 2725204068900
Therefore, the lowest common multiple of 900,323,852,841,157 is 2725204068900.
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.
900 x 323 x 852 x 841 x 157 = 32702448826800
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
323 : 1, 17, 19, 323
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
841 : 1, 29, 841
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,323,852,841,157, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
323:17x 19
852:2x 2x 3x 71
841:29x 29
157:157
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 3 = 12
Therefore, the value for common factors is 12.
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 = 32702448826800/(1x12)
LCM = 32702448826800/12
LCM = 2725204068900
Thus, we can understand that the LCM of 900,323,852,841,157 is 2725204068900.
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FAQs on LCM of 900, 323, 852, 841, 157
1. What is the LCM of 900, 323, 852, 841, 157?
Answer: LCM of 900, 323, 852, 841, 157 is 2725204068900.
2. How to calculate the LCM of 900, 323, 852, 841, 157?
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 900, 323, 852, 841, 157.
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}.