LCM of 741, 756, 905, 780, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 756, 905, 780, 560 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, 756, 905, 780, 560. So, keep reading to learn more.
Given numbers are 741,756,905,780,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,756,905,780,560 is 675969840.
Find LCM of 741,756,905,780,560 with Prime Factorization
| 2 | 741, 756, 905, 780, 560 |
| 2 | 741, 378, 905, 390, 280 |
| 3 | 741, 189, 905, 195, 140 |
| 5 | 247, 63, 905, 65, 140 |
| 7 | 247, 63, 181, 13, 28 |
| 13 | 247, 9, 181, 13, 4 |
| 19, 9, 181, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 19 x 9 x 181 x 1 x 4 = 675969840
Therefore, the lowest common multiple of 741,756,905,780,560 is 675969840.
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 756 x 905 x 780 x 560 = 221447719584000
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
905 : 1, 5, 181, 905
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,756,905,780,560, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
756:2x 2x 3x 3x 3x 7
905:5x 181
780:2x 2x 3x 5x 13
560:2x 2x 2x 2x 5x 7
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 3x 3x 5x 5x 7x 13 = 327600
Therefore, the value for common factors is 327600.
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 = 221447719584000/(1x327600)
LCM = 221447719584000/327600
LCM = 675969840
Thus, we can understand that the LCM of 741,756,905,780,560 is 675969840.
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FAQs on LCM of 741, 756, 905, 780, 560
1. What is the LCM of 741, 756, 905, 780, 560?
Answer: LCM of 741, 756, 905, 780, 560 is 675969840.
2. How to calculate the LCM of 741, 756, 905, 780, 560?
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, 756, 905, 780, 560.
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}.