Find the LCM of 343, 196, 458, 140, 757 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 343, 196, 458, 140, 757. So, keep reading to learn more.
Given numbers are 343,196,458,140,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,196,458,140,757 is 1189201580.
Find LCM of 343,196,458,140,757 with Prime Factorization
2 | 343, 196, 458, 140, 757 |
2 | 343, 98, 229, 70, 757 |
7 | 343, 49, 229, 35, 757 |
7 | 7, 49, 229, 5, 757 |
1, 7, 229, 5, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 1 x 7 x 229 x 5 x 757 = 1189201580
Therefore, the lowest common multiple of 343,196,458,140,757 is 1189201580.
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.
343 x 196 x 458 x 140 x 757 = 3263169135520
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.
343 : 1, 7, 49, 343
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
458 : 1, 2, 229, 458
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,196,458,140,757, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
196:2x 2x 7x 7
458:2x 229
140:2x 2x 5x 7
757:757
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 7x 7x 7 = 2744
Therefore, the value for common factors is 2744.
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 = 3263169135520/(1x2744)
LCM = 3263169135520/2744
LCM = 1189201580
Thus, we can understand that the LCM of 343,196,458,140,757 is 1189201580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 196, 458, 140, 757?
Answer: LCM of 343, 196, 458, 140, 757 is 1189201580.
2. How to calculate the LCM of 343, 196, 458, 140, 757?
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 343, 196, 458, 140, 757.
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}.