LCM of 234, 124, 221, 224, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 124, 221, 224, 765 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 234, 124, 221, 224, 765. So, keep reading to learn more.
Given numbers are 234,124,221,224,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,124,221,224,765 is 69058080.
Find LCM of 234,124,221,224,765 with Prime Factorization
| 2 | 234, 124, 221, 224, 765 |
| 2 | 117, 62, 221, 112, 765 |
| 3 | 117, 31, 221, 56, 765 |
| 3 | 39, 31, 221, 56, 255 |
| 13 | 13, 31, 221, 56, 85 |
| 17 | 1, 31, 17, 56, 85 |
| 1, 31, 1, 56, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 17 x 1 x 31 x 1 x 56 x 5 = 69058080
Therefore, the lowest common multiple of 234,124,221,224,765 is 69058080.
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.
234 x 124 x 221 x 224 x 765 = 1098852168960
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
124 : 1, 2, 4, 31, 62, 124
221 : 1, 13, 17, 221
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,124,221,224,765, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
124:2x 2x 31
221:13x 17
224:2x 2x 2x 2x 2x 7
765:3x 3x 5x 17
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 3x 13x 17 = 15912
Therefore, the value for common factors is 15912.
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 = 1098852168960/(1x15912)
LCM = 1098852168960/15912
LCM = 69058080
Thus, we can understand that the LCM of 234,124,221,224,765 is 69058080.
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FAQs on LCM of 234, 124, 221, 224, 765
1. What is the LCM of 234, 124, 221, 224, 765?
Answer: LCM of 234, 124, 221, 224, 765 is 69058080.
2. How to calculate the LCM of 234, 124, 221, 224, 765?
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 234, 124, 221, 224, 765.
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}.