Find the LCM of 770, 407, 962, 970, 354 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, 407, 962, 970, 354. So, keep reading to learn more.
Given numbers are 770,407,962,970,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,407,962,970,354 is 6358882530.
Find LCM of 770,407,962,970,354 with Prime Factorization
2 | 770, 407, 962, 970, 354 |
5 | 385, 407, 481, 485, 177 |
11 | 77, 407, 481, 97, 177 |
37 | 7, 37, 481, 97, 177 |
7, 1, 13, 97, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 37 x 7 x 1 x 13 x 97 x 177 = 6358882530
Therefore, the lowest common multiple of 770,407,962,970,354 is 6358882530.
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 407 x 962 x 970 x 354 = 103522607588400
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
407 : 1, 11, 37, 407
962 : 1, 2, 13, 26, 37, 74, 481, 962
970 : 1, 2, 5, 10, 97, 194, 485, 970
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,407,962,970,354, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
407:11x 37
962:2x 13x 37
970:2x 5x 97
354:2x 3x 59
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 5x 11x 37 = 16280
Therefore, the value for common factors is 16280.
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 = 103522607588400/(1x16280)
LCM = 103522607588400/16280
LCM = 6358882530
Thus, we can understand that the LCM of 770,407,962,970,354 is 6358882530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 407, 962, 970, 354?
Answer: LCM of 770, 407, 962, 970, 354 is 6358882530.
2. How to calculate the LCM of 770, 407, 962, 970, 354?
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, 407, 962, 970, 354.
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}.