LCM of 749, 461, 732, 972, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 461, 732, 972, 784 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 749, 461, 732, 972, 784. So, keep reading to learn more.
Given numbers are 749,461,732,972,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,461,732,972,784 is 573240510864.
Find LCM of 749,461,732,972,784 with Prime Factorization
| 2 | 749, 461, 732, 972, 784 |
| 2 | 749, 461, 366, 486, 392 |
| 3 | 749, 461, 183, 243, 196 |
| 7 | 749, 461, 61, 81, 196 |
| 107, 461, 61, 81, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 107 x 461 x 61 x 81 x 28 = 573240510864
Therefore, the lowest common multiple of 749,461,732,972,784 is 573240510864.
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.
749 x 461 x 732 x 972 x 784 = 192608811650304
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.
749 : 1, 7, 107, 749
461 : 1, 461
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,461,732,972,784, is 1.
Now, the common factors can be found like this.
749:7x 107
461:461
732:2x 2x 3x 61
972:2x 2x 3x 3x 3x 3x 3
784:2x 2x 2x 2x 7x 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 7 = 336
Therefore, the value for common factors is 336.
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 = 192608811650304/(1x336)
LCM = 192608811650304/336
LCM = 573240510864
Thus, we can understand that the LCM of 749,461,732,972,784 is 573240510864.
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FAQs on LCM of 749, 461, 732, 972, 784
1. What is the LCM of 749, 461, 732, 972, 784?
Answer: LCM of 749, 461, 732, 972, 784 is 573240510864.
2. How to calculate the LCM of 749, 461, 732, 972, 784?
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 749, 461, 732, 972, 784.
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}.