Find the LCM of 764, 676, 956, 341, 996 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 764, 676, 956, 341, 996. So, keep reading to learn more.
Given numbers are 764,676,956,341,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,676,956,341,996 is 2620183396116.
Find LCM of 764,676,956,341,996 with Prime Factorization
2 | 764, 676, 956, 341, 996 |
2 | 382, 338, 478, 341, 498 |
191, 169, 239, 341, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 169 x 239 x 341 x 249 = 2620183396116
Therefore, the lowest common multiple of 764,676,956,341,996 is 2620183396116.
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.
764 x 676 x 956 x 341 x 996 = 167691737351424
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.
764 : 1, 2, 4, 191, 382, 764
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
956 : 1, 2, 4, 239, 478, 956
341 : 1, 11, 31, 341
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,676,956,341,996, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
676:2x 2x 13x 13
956:2x 2x 239
341:11x 31
996:2x 2x 3x 83
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 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 167691737351424/(1x64)
LCM = 167691737351424/64
LCM = 2620183396116
Thus, we can understand that the LCM of 764,676,956,341,996 is 2620183396116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 676, 956, 341, 996?
Answer: LCM of 764, 676, 956, 341, 996 is 2620183396116.
2. How to calculate the LCM of 764, 676, 956, 341, 996?
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 764, 676, 956, 341, 996.
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}.