LCM of 970, 196, 149, 341, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 196, 149, 341, 682 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 970, 196, 149, 341, 682. So, keep reading to learn more.
Given numbers are 970,196,149,341,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,196,149,341,682 is 4829903540.
Find LCM of 970,196,149,341,682 with Prime Factorization
| 2 | 970, 196, 149, 341, 682 |
| 11 | 485, 98, 149, 341, 341 |
| 31 | 485, 98, 149, 31, 31 |
| 485, 98, 149, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 485 x 98 x 149 x 1 x 1 = 4829903540
Therefore, the lowest common multiple of 970,196,149,341,682 is 4829903540.
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.
970 x 196 x 149 x 341 x 682 = 6587988428560
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
149 : 1, 149
341 : 1, 11, 31, 341
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,196,149,341,682, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
196:2x 2x 7x 7
149:149
341:11x 31
682:2x 11x 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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 6587988428560/(1x1364)
LCM = 6587988428560/1364
LCM = 4829903540
Thus, we can understand that the LCM of 970,196,149,341,682 is 4829903540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 970, 196, 149, 341, 682
1. What is the LCM of 970, 196, 149, 341, 682?
Answer: LCM of 970, 196, 149, 341, 682 is 4829903540.
2. How to calculate the LCM of 970, 196, 149, 341, 682?
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 970, 196, 149, 341, 682.
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}.