LCM of 137, 764, 738, 203, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 764, 738, 203, 812 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 137, 764, 738, 203, 812. So, keep reading to learn more.
Given numbers are 137,764,738,203,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,764,738,203,812 is 7840365876.
Find LCM of 137,764,738,203,812 with Prime Factorization
| 2 | 137, 764, 738, 203, 812 |
| 2 | 137, 382, 369, 203, 406 |
| 7 | 137, 191, 369, 203, 203 |
| 29 | 137, 191, 369, 29, 29 |
| 137, 191, 369, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 137 x 191 x 369 x 1 x 1 = 7840365876
Therefore, the lowest common multiple of 137,764,738,203,812 is 7840365876.
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.
137 x 764 x 738 x 203 x 812 = 12732754182624
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.
137 : 1, 137
764 : 1, 2, 4, 191, 382, 764
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
203 : 1, 7, 29, 203
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,764,738,203,812, is 1.
Now, the common factors can be found like this.
137:137
764:2x 2x 191
738:2x 3x 3x 41
203:7x 29
812:2x 2x 7x 29
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 7x 29 = 1624
Therefore, the value for common factors is 1624.
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 = 12732754182624/(1x1624)
LCM = 12732754182624/1624
LCM = 7840365876
Thus, we can understand that the LCM of 137,764,738,203,812 is 7840365876.
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FAQs on LCM of 137, 764, 738, 203, 812
1. What is the LCM of 137, 764, 738, 203, 812?
Answer: LCM of 137, 764, 738, 203, 812 is 7840365876.
2. How to calculate the LCM of 137, 764, 738, 203, 812?
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 137, 764, 738, 203, 812.
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}.