LCM of 421, 240, 400, 209, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 240, 400, 209, 920 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 421, 240, 400, 209, 920. So, keep reading to learn more.
Given numbers are 421,240,400,209,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,240,400,209,920 is 2428496400.
Find LCM of 421,240,400,209,920 with Prime Factorization
| 2 | 421, 240, 400, 209, 920 |
| 2 | 421, 120, 200, 209, 460 |
| 2 | 421, 60, 100, 209, 230 |
| 2 | 421, 30, 50, 209, 115 |
| 5 | 421, 15, 25, 209, 115 |
| 421, 3, 5, 209, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 421 x 3 x 5 x 209 x 23 = 2428496400
Therefore, the lowest common multiple of 421,240,400,209,920 is 2428496400.
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.
421 x 240 x 400 x 209 x 920 = 7771188480000
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.
421 : 1, 421
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
209 : 1, 11, 19, 209
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,240,400,209,920, is 1.
Now, the common factors can be found like this.
421:421
240:2x 2x 2x 2x 3x 5
400:2x 2x 2x 2x 5x 5
209:11x 19
920:2x 2x 2x 5x 23
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 2x 2x 2x 5x 5 = 3200
Therefore, the value for common factors is 3200.
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 = 7771188480000/(1x3200)
LCM = 7771188480000/3200
LCM = 2428496400
Thus, we can understand that the LCM of 421,240,400,209,920 is 2428496400.
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FAQs on LCM of 421, 240, 400, 209, 920
1. What is the LCM of 421, 240, 400, 209, 920?
Answer: LCM of 421, 240, 400, 209, 920 is 2428496400.
2. How to calculate the LCM of 421, 240, 400, 209, 920?
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 421, 240, 400, 209, 920.
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}.