Find the LCM of 356, 374, 324, 868, 994 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 356, 374, 324, 868, 994. So, keep reading to learn more.
Given numbers are 356,374,324,868,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,374,324,868,994 is 83079659124.
Find LCM of 356,374,324,868,994 with Prime Factorization
2 | 356, 374, 324, 868, 994 |
2 | 178, 187, 162, 434, 497 |
7 | 89, 187, 81, 217, 497 |
89, 187, 81, 31, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 89 x 187 x 81 x 31 x 71 = 83079659124
Therefore, the lowest common multiple of 356,374,324,868,994 is 83079659124.
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.
356 x 374 x 324 x 868 x 994 = 37219687287552
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.
356 : 1, 2, 4, 89, 178, 356
374 : 1, 2, 11, 17, 22, 34, 187, 374
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
994 : 1, 2, 7, 14, 71, 142, 497, 994
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,374,324,868,994, is 2.
Now, the common factors can be found like this.
356:2x 2x 89
374:2x 11x 17
324:2x 2x 3x 3x 3x 3
868:2x 2x 7x 31
994:2x 7x 71
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 7 = 224
Therefore, the value for common factors is 224.
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 = 37219687287552/(2x224)
LCM = 37219687287552/448
LCM = 83079659124
Thus, we can understand that the LCM of 356,374,324,868,994 is 83079659124.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 356, 374, 324, 868, 994?
Answer: LCM of 356, 374, 324, 868, 994 is 83079659124.
2. How to calculate the LCM of 356, 374, 324, 868, 994?
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 356, 374, 324, 868, 994.
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}.