Find the LCM of 711, 222, 382, 346, 956 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 711, 222, 382, 346, 956. So, keep reading to learn more.
Given numbers are 711,222,382,346,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,222,382,346,956 is 831014664156.
Find LCM of 711,222,382,346,956 with Prime Factorization
2 | 711, 222, 382, 346, 956 |
3 | 711, 111, 191, 173, 478 |
237, 37, 191, 173, 478 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 237 x 37 x 191 x 173 x 478 = 831014664156
Therefore, the lowest common multiple of 711,222,382,346,956 is 831014664156.
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.
711 x 222 x 382 x 346 x 956 = 19944351939744
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.
711 : 1, 3, 9, 79, 237, 711
222 : 1, 2, 3, 6, 37, 74, 111, 222
382 : 1, 2, 191, 382
346 : 1, 2, 173, 346
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,222,382,346,956, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
222:2x 3x 37
382:2x 191
346:2x 173
956:2x 2x 239
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 3 = 24
Therefore, the value for common factors is 24.
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 = 19944351939744/(1x24)
LCM = 19944351939744/24
LCM = 831014664156
Thus, we can understand that the LCM of 711,222,382,346,956 is 831014664156.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 222, 382, 346, 956?
Answer: LCM of 711, 222, 382, 346, 956 is 831014664156.
2. How to calculate the LCM of 711, 222, 382, 346, 956?
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 711, 222, 382, 346, 956.
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}.