LCM of 751, 972, 726, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 972, 726, 989 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 751, 972, 726, 989. So, keep reading to learn more.
Given numbers are 751,972,726,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,972,726,989 is 87355019268.
Find LCM of 751,972,726,989 with Prime Factorization
| 2 | 751, 972, 726, 989 |
| 3 | 751, 486, 363, 989 |
| 751, 162, 121, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 751 x 162 x 121 x 989 = 87355019268
Therefore, the lowest common multiple of 751,972,726,989 is 87355019268.
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.
751 x 972 x 726 x 989 = 524130115608
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.
751 : 1, 751
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,972,726,989, is 1.
Now, the common factors can be found like this.
751:751
972:2x 2x 3x 3x 3x 3x 3
726:2x 3x 11x 11
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 524130115608/(1x6)
LCM = 524130115608/6
LCM = 87355019268
Thus, we can understand that the LCM of 751,972,726,989 is 87355019268.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 751, 972, 726, 989
1. What is the LCM of 751, 972, 726, 989?
Answer: LCM of 751, 972, 726, 989 is 87355019268.
2. How to calculate the LCM of 751, 972, 726, 989?
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 751, 972, 726, 989.
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}.