Find the LCM of 374, 706, 868, 744 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 374, 706, 868, 744. So, keep reading to learn more.
Given numbers are 374,706,868,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,706,868,744 is 343785288.
Find LCM of 374,706,868,744 with Prime Factorization
2 | 374, 706, 868, 744 |
2 | 187, 353, 434, 372 |
31 | 187, 353, 217, 186 |
187, 353, 7, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 187 x 353 x 7 x 6 = 343785288
Therefore, the lowest common multiple of 374,706,868,744 is 343785288.
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.
374 x 706 x 868 x 744 = 170517502848
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
706 : 1, 2, 353, 706
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,706,868,744, is 2.
Now, the common factors can be found like this.
374:2x 11x 17
706:2x 353
868:2x 2x 7x 31
744:2x 2x 2x 3x 31
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 31 = 248
Therefore, the value for common factors is 248.
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 = 170517502848/(2x248)
LCM = 170517502848/496
LCM = 343785288
Thus, we can understand that the LCM of 374,706,868,744 is 343785288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 374, 706, 868, 744?
Answer: LCM of 374, 706, 868, 744 is 343785288.
2. How to calculate the LCM of 374, 706, 868, 744?
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 374, 706, 868, 744.
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}.