LCM of 736, 884, 441, 741, 761
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 884, 441, 741, 761 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 736, 884, 441, 741, 761. So, keep reading to learn more.
Given numbers are 736,884,441,741,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,884,441,741,761 is 1037162808864.
Find LCM of 736,884,441,741,761 with Prime Factorization
| 2 | 736, 884, 441, 741, 761 |
| 2 | 368, 442, 441, 741, 761 |
| 3 | 184, 221, 441, 741, 761 |
| 13 | 184, 221, 147, 247, 761 |
| 184, 17, 147, 19, 761 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 184 x 17 x 147 x 19 x 761 = 1037162808864
Therefore, the lowest common multiple of 736,884,441,741,761 is 1037162808864.
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.
736 x 884 x 441 x 741 x 761 = 161797398182784
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
741 : 1, 3, 13, 19, 39, 57, 247, 741
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,884,441,741,761, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
884:2x 2x 13x 17
441:3x 3x 7x 7
741:3x 13x 19
761:761
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 13 = 156
Therefore, the value for common factors is 156.
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 = 161797398182784/(1x156)
LCM = 161797398182784/156
LCM = 1037162808864
Thus, we can understand that the LCM of 736,884,441,741,761 is 1037162808864.
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FAQs on LCM of 736, 884, 441, 741, 761
1. What is the LCM of 736, 884, 441, 741, 761?
Answer: LCM of 736, 884, 441, 741, 761 is 1037162808864.
2. How to calculate the LCM of 736, 884, 441, 741, 761?
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 736, 884, 441, 741, 761.
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}.