LCM of 741, 660, 347, 253, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 660, 347, 253, 768 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 741, 660, 347, 253, 768. So, keep reading to learn more.
Given numbers are 741,660,347,253,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,660,347,253,768 is 83268007680.
Find LCM of 741,660,347,253,768 with Prime Factorization
| 2 | 741, 660, 347, 253, 768 |
| 2 | 741, 330, 347, 253, 384 |
| 3 | 741, 165, 347, 253, 192 |
| 11 | 247, 55, 347, 253, 64 |
| 247, 5, 347, 23, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 247 x 5 x 347 x 23 x 64 = 83268007680
Therefore, the lowest common multiple of 741,660,347,253,768 is 83268007680.
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.
741 x 660 x 347 x 253 x 768 = 32974131041280
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
347 : 1, 347
253 : 1, 11, 23, 253
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,660,347,253,768, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
660:2x 2x 3x 5x 11
347:347
253:11x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 32974131041280/(1x396)
LCM = 32974131041280/396
LCM = 83268007680
Thus, we can understand that the LCM of 741,660,347,253,768 is 83268007680.
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FAQs on LCM of 741, 660, 347, 253, 768
1. What is the LCM of 741, 660, 347, 253, 768?
Answer: LCM of 741, 660, 347, 253, 768 is 83268007680.
2. How to calculate the LCM of 741, 660, 347, 253, 768?
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 741, 660, 347, 253, 768.
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}.