LCM of 747, 973, 378, 198, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 973, 378, 198, 726 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, 973, 378, 198, 726. So, keep reading to learn more.
Given numbers are 747,973,378,198,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,973,378,198,726 is 527679306.
Find LCM of 747,973,378,198,726 with Prime Factorization
| 2 | 747, 973, 378, 198, 726 |
| 3 | 747, 973, 189, 99, 363 |
| 3 | 249, 973, 63, 33, 121 |
| 7 | 83, 973, 21, 11, 121 |
| 11 | 83, 139, 3, 11, 121 |
| 83, 139, 3, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 83 x 139 x 3 x 1 x 11 = 527679306
Therefore, the lowest common multiple of 747,973,378,198,726 is 527679306.
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 973 x 378 x 198 x 726 = 39493629978264
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
973 : 1, 7, 139, 973
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,973,378,198,726, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
973:7x 139
378:2x 3x 3x 3x 7
198:2x 3x 3x 11
726:2x 3x 11x 11
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 3x 3x 3x 3x 7x 11 = 74844
Therefore, the value for common factors is 74844.
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 = 39493629978264/(1x74844)
LCM = 39493629978264/74844
LCM = 527679306
Thus, we can understand that the LCM of 747,973,378,198,726 is 527679306.
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FAQs on LCM of 747, 973, 378, 198, 726
1. What is the LCM of 747, 973, 378, 198, 726?
Answer: LCM of 747, 973, 378, 198, 726 is 527679306.
2. How to calculate the LCM of 747, 973, 378, 198, 726?
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, 973, 378, 198, 726.
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}.