Find the LCM of 770, 374, 875, 690 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 770, 374, 875, 690. So, keep reading to learn more.
Given numbers are 770,374,875,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,374,875,690 is 22580250.
Find LCM of 770,374,875,690 with Prime Factorization
2 | 770, 374, 875, 690 |
5 | 385, 187, 875, 345 |
7 | 77, 187, 175, 69 |
11 | 11, 187, 25, 69 |
1, 17, 25, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 1 x 17 x 25 x 69 = 22580250
Therefore, the lowest common multiple of 770,374,875,690 is 22580250.
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.
770 x 374 x 875 x 690 = 173867925000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
374 : 1, 2, 11, 17, 22, 34, 187, 374
875 : 1, 5, 7, 25, 35, 125, 175, 875
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,374,875,690, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
374:2x 11x 17
875:5x 5x 5x 7
690:2x 3x 5x 23
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 5x 5x 7x 11 = 7700
Therefore, the value for common factors is 7700.
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 = 173867925000/(1x7700)
LCM = 173867925000/7700
LCM = 22580250
Thus, we can understand that the LCM of 770,374,875,690 is 22580250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 374, 875, 690?
Answer: LCM of 770, 374, 875, 690 is 22580250.
2. How to calculate the LCM of 770, 374, 875, 690?
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 770, 374, 875, 690.
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}.