LCM of 736, 963, 440, 990, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 963, 440, 990, 758 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, 963, 440, 990, 758. So, keep reading to learn more.
Given numbers are 736,963,440,990,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,963,440,990,758 is 14774268960.
Find LCM of 736,963,440,990,758 with Prime Factorization
| 2 | 736, 963, 440, 990, 758 |
| 2 | 368, 963, 220, 495, 379 |
| 2 | 184, 963, 110, 495, 379 |
| 3 | 92, 963, 55, 495, 379 |
| 3 | 92, 321, 55, 165, 379 |
| 5 | 92, 107, 55, 55, 379 |
| 11 | 92, 107, 11, 11, 379 |
| 92, 107, 1, 1, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 11 x 92 x 107 x 1 x 1 x 379 = 14774268960
Therefore, the lowest common multiple of 736,963,440,990,758 is 14774268960.
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 963 x 440 x 990 x 758 = 234024420326400
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
963 : 1, 3, 9, 107, 321, 963
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,963,440,990,758, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
963:3x 3x 107
440:2x 2x 2x 5x 11
990:2x 3x 3x 5x 11
758:2x 379
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 2x 3x 3x 5x 11 = 15840
Therefore, the value for common factors is 15840.
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 = 234024420326400/(1x15840)
LCM = 234024420326400/15840
LCM = 14774268960
Thus, we can understand that the LCM of 736,963,440,990,758 is 14774268960.
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FAQs on LCM of 736, 963, 440, 990, 758
1. What is the LCM of 736, 963, 440, 990, 758?
Answer: LCM of 736, 963, 440, 990, 758 is 14774268960.
2. How to calculate the LCM of 736, 963, 440, 990, 758?
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, 963, 440, 990, 758.
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}.