LCM of 756, 997, 372, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 997, 372, 351 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 756, 997, 372, 351. So, keep reading to learn more.
Given numbers are 756,997,372,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,997,372,351 is 303753996.
Find LCM of 756,997,372,351 with Prime Factorization
| 2 | 756, 997, 372, 351 |
| 2 | 378, 997, 186, 351 |
| 3 | 189, 997, 93, 351 |
| 3 | 63, 997, 31, 117 |
| 3 | 21, 997, 31, 39 |
| 7, 997, 31, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 997 x 31 x 13 = 303753996
Therefore, the lowest common multiple of 756,997,372,351 is 303753996.
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.
756 x 997 x 372 x 351 = 98416294704
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
997 : 1, 997
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,997,372,351, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
997:997
372:2x 2x 3x 31
351:3x 3x 3x 13
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 3 = 324
Therefore, the value for common factors is 324.
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 = 98416294704/(1x324)
LCM = 98416294704/324
LCM = 303753996
Thus, we can understand that the LCM of 756,997,372,351 is 303753996.
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FAQs on LCM of 756, 997, 372, 351
1. What is the LCM of 756, 997, 372, 351?
Answer: LCM of 756, 997, 372, 351 is 303753996.
2. How to calculate the LCM of 756, 997, 372, 351?
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 756, 997, 372, 351.
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}.