Find the LCM of 991, 754, 203, 956, 664 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 991, 754, 203, 956, 664. So, keep reading to learn more.
Given numbers are 991,754,203,956,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,754,203,956,664 is 415029555304.
Find LCM of 991,754,203,956,664 with Prime Factorization
2 | 991, 754, 203, 956, 664 |
2 | 991, 377, 203, 478, 332 |
29 | 991, 377, 203, 239, 166 |
991, 13, 7, 239, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 991 x 13 x 7 x 239 x 166 = 415029555304
Therefore, the lowest common multiple of 991,754,203,956,664 is 415029555304.
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.
991 x 754 x 203 x 956 x 664 = 96286856830528
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.
991 : 1, 991
754 : 1, 2, 13, 26, 29, 58, 377, 754
203 : 1, 7, 29, 203
956 : 1, 2, 4, 239, 478, 956
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,754,203,956,664, is 1.
Now, the common factors can be found like this.
991:991
754:2x 13x 29
203:7x 29
956:2x 2x 239
664:2x 2x 2x 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 29 = 232
Therefore, the value for common factors is 232.
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 = 96286856830528/(1x232)
LCM = 96286856830528/232
LCM = 415029555304
Thus, we can understand that the LCM of 991,754,203,956,664 is 415029555304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 754, 203, 956, 664?
Answer: LCM of 991, 754, 203, 956, 664 is 415029555304.
2. How to calculate the LCM of 991, 754, 203, 956, 664?
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 991, 754, 203, 956, 664.
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}.