LCM of 361, 271, 912, 900, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 271, 912, 900, 358 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 361, 271, 912, 900, 358. So, keep reading to learn more.
Given numbers are 361,271,912,900,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,271,912,900,358 is 63042296400.
Find LCM of 361,271,912,900,358 with Prime Factorization
| 2 | 361, 271, 912, 900, 358 |
| 2 | 361, 271, 456, 450, 179 |
| 3 | 361, 271, 228, 225, 179 |
| 19 | 361, 271, 76, 75, 179 |
| 19, 271, 4, 75, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 19 x 271 x 4 x 75 x 179 = 63042296400
Therefore, the lowest common multiple of 361,271,912,900,358 is 63042296400.
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.
361 x 271 x 912 x 900 x 358 = 28747287158400
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.
361 : 1, 19, 361
271 : 1, 271
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
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
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,271,912,900,358, is 1.
Now, the common factors can be found like this.
361:19x 19
271:271
912:2x 2x 2x 2x 3x 19
900:2x 2x 3x 3x 5x 5
358:2x 179
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 19 = 456
Therefore, the value for common factors is 456.
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 = 28747287158400/(1x456)
LCM = 28747287158400/456
LCM = 63042296400
Thus, we can understand that the LCM of 361,271,912,900,358 is 63042296400.
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FAQs on LCM of 361, 271, 912, 900, 358
1. What is the LCM of 361, 271, 912, 900, 358?
Answer: LCM of 361, 271, 912, 900, 358 is 63042296400.
2. How to calculate the LCM of 361, 271, 912, 900, 358?
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 361, 271, 912, 900, 358.
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}.