LCM of 747, 921, 754, 728, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 921, 754, 728, 962 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 747, 921, 754, 728, 962. So, keep reading to learn more.
Given numbers are 747,921,754,728,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,921,754,728,962 is 179138972376.
Find LCM of 747,921,754,728,962 with Prime Factorization
| 2 | 747, 921, 754, 728, 962 |
| 3 | 747, 921, 377, 364, 481 |
| 13 | 249, 307, 377, 364, 481 |
| 249, 307, 29, 28, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 249 x 307 x 29 x 28 x 37 = 179138972376
Therefore, the lowest common multiple of 747,921,754,728,962 is 179138972376.
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.
747 x 921 x 754 x 728 x 962 = 363293835978528
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.
747 : 1, 3, 9, 83, 249, 747
921 : 1, 3, 307, 921
754 : 1, 2, 13, 26, 29, 58, 377, 754
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,921,754,728,962, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
921:3x 307
754:2x 13x 29
728:2x 2x 2x 7x 13
962:2x 13x 37
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 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 363293835978528/(1x2028)
LCM = 363293835978528/2028
LCM = 179138972376
Thus, we can understand that the LCM of 747,921,754,728,962 is 179138972376.
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FAQs on LCM of 747, 921, 754, 728, 962
1. What is the LCM of 747, 921, 754, 728, 962?
Answer: LCM of 747, 921, 754, 728, 962 is 179138972376.
2. How to calculate the LCM of 747, 921, 754, 728, 962?
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 747, 921, 754, 728, 962.
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}.