LCM of 221, 768, 712, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 768, 712, 753 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 221, 768, 712, 753. So, keep reading to learn more.
Given numbers are 221,768,712,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,768,712,753 is 3791553792.
Find LCM of 221,768,712,753 with Prime Factorization
| 2 | 221, 768, 712, 753 |
| 2 | 221, 384, 356, 753 |
| 2 | 221, 192, 178, 753 |
| 3 | 221, 96, 89, 753 |
| 221, 32, 89, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 221 x 32 x 89 x 251 = 3791553792
Therefore, the lowest common multiple of 221,768,712,753 is 3791553792.
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.
221 x 768 x 712 x 753 = 90997291008
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.
221 : 1, 13, 17, 221
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
712 : 1, 2, 4, 8, 89, 178, 356, 712
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,768,712,753, is 1.
Now, the common factors can be found like this.
221:13x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
712:2x 2x 2x 89
753:3x 251
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 3 = 24
Therefore, the value for common factors is 24.
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 = 90997291008/(1x24)
LCM = 90997291008/24
LCM = 3791553792
Thus, we can understand that the LCM of 221,768,712,753 is 3791553792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 768, 712, 753
1. What is the LCM of 221, 768, 712, 753?
Answer: LCM of 221, 768, 712, 753 is 3791553792.
2. How to calculate the LCM of 221, 768, 712, 753?
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 221, 768, 712, 753.
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}.