LCM of 343, 460, 299, 785, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 460, 299, 785, 225 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 343, 460, 299, 785, 225. So, keep reading to learn more.
Given numbers are 343,460,299,785,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,460,299,785,225 is 14491304100.
Find LCM of 343,460,299,785,225 with Prime Factorization
| 5 | 343, 460, 299, 785, 225 |
| 23 | 343, 92, 299, 157, 45 |
| 343, 4, 13, 157, 45 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 343 x 4 x 13 x 157 x 45 = 14491304100
Therefore, the lowest common multiple of 343,460,299,785,225 is 14491304100.
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.
343 x 460 x 299 x 785 x 225 = 8332499857500
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.
343 : 1, 7, 49, 343
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
299 : 1, 13, 23, 299
785 : 1, 5, 157, 785
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,460,299,785,225, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
460:2x 2x 5x 23
299:13x 23
785:5x 157
225:3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 23 = 575
Therefore, the value for common factors is 575.
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 = 8332499857500/(1x575)
LCM = 8332499857500/575
LCM = 14491304100
Thus, we can understand that the LCM of 343,460,299,785,225 is 14491304100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 343, 460, 299, 785, 225
1. What is the LCM of 343, 460, 299, 785, 225?
Answer: LCM of 343, 460, 299, 785, 225 is 14491304100.
2. How to calculate the LCM of 343, 460, 299, 785, 225?
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 343, 460, 299, 785, 225.
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}.