Find the LCM of 770, 418, 117, 378 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, 418, 117, 378. So, keep reading to learn more.
Given numbers are 770,418,117,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,418,117,378 is 5135130.
Find LCM of 770,418,117,378 with Prime Factorization
2 | 770, 418, 117, 378 |
3 | 385, 209, 117, 189 |
3 | 385, 209, 39, 63 |
7 | 385, 209, 13, 21 |
11 | 55, 209, 13, 3 |
5, 19, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 5 x 19 x 13 x 3 = 5135130
Therefore, the lowest common multiple of 770,418,117,378 is 5135130.
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 418 x 117 x 378 = 14234580360
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
117 : 1, 3, 9, 13, 39, 117
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,418,117,378, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
418:2x 11x 19
117:3x 3x 13
378:2x 3x 3x 3x 7
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 3x 3x 7x 11 = 2772
Therefore, the value for common factors is 2772.
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 = 14234580360/(1x2772)
LCM = 14234580360/2772
LCM = 5135130
Thus, we can understand that the LCM of 770,418,117,378 is 5135130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 418, 117, 378?
Answer: LCM of 770, 418, 117, 378 is 5135130.
2. How to calculate the LCM of 770, 418, 117, 378?
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, 418, 117, 378.
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}.