LCM of 736, 282, 705, 747, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 282, 705, 747, 664 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, 282, 705, 747, 664. So, keep reading to learn more.
Given numbers are 736,282,705,747,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,282,705,747,664 is 129201120.
Find LCM of 736,282,705,747,664 with Prime Factorization
| 2 | 736, 282, 705, 747, 664 |
| 2 | 368, 141, 705, 747, 332 |
| 2 | 184, 141, 705, 747, 166 |
| 3 | 92, 141, 705, 747, 83 |
| 47 | 92, 47, 235, 249, 83 |
| 83 | 92, 1, 5, 249, 83 |
| 92, 1, 5, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 83 x 92 x 1 x 5 x 3 x 1 = 129201120
Therefore, the lowest common multiple of 736,282,705,747,664 is 129201120.
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 282 x 705 x 747 x 664 = 72577953953280
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
282 : 1, 2, 3, 6, 47, 94, 141, 282
705 : 1, 3, 5, 15, 47, 141, 235, 705
747 : 1, 3, 9, 83, 249, 747
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,282,705,747,664, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
282:2x 3x 47
705:3x 5x 47
747:3x 3x 83
664:2x 2x 2x 83
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 47x 83 = 561744
Therefore, the value for common factors is 561744.
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 = 72577953953280/(1x561744)
LCM = 72577953953280/561744
LCM = 129201120
Thus, we can understand that the LCM of 736,282,705,747,664 is 129201120.
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FAQs on LCM of 736, 282, 705, 747, 664
1. What is the LCM of 736, 282, 705, 747, 664?
Answer: LCM of 736, 282, 705, 747, 664 is 129201120.
2. How to calculate the LCM of 736, 282, 705, 747, 664?
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, 282, 705, 747, 664.
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}.