LCM of 970, 556, 898, 658, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 556, 898, 658, 556 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, 556, 898, 658, 556. So, keep reading to learn more.
Given numbers are 970,556,898,658,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,556,898,658,556 is 39834444860.
Find LCM of 970,556,898,658,556 with Prime Factorization
| 2 | 970, 556, 898, 658, 556 |
| 2 | 485, 278, 449, 329, 278 |
| 139 | 485, 139, 449, 329, 139 |
| 485, 1, 449, 329, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 485 x 1 x 449 x 329 x 1 = 39834444860
Therefore, the lowest common multiple of 970,556,898,658,556 is 39834444860.
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 556 x 898 x 658 x 556 = 177183610737280
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
556 : 1, 2, 4, 139, 278, 556
898 : 1, 2, 449, 898
658 : 1, 2, 7, 14, 47, 94, 329, 658
556 : 1, 2, 4, 139, 278, 556
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,556,898,658,556, is 2.
Now, the common factors can be found like this.
970:2x 5x 97
556:2x 2x 139
898:2x 449
658:2x 7x 47
556:2x 2x 139
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 2x 139 = 2224
Therefore, the value for common factors is 2224.
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 = 177183610737280/(2x2224)
LCM = 177183610737280/4448
LCM = 39834444860
Thus, we can understand that the LCM of 970,556,898,658,556 is 39834444860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 970, 556, 898, 658, 556
1. What is the LCM of 970, 556, 898, 658, 556?
Answer: LCM of 970, 556, 898, 658, 556 is 39834444860.
2. How to calculate the LCM of 970, 556, 898, 658, 556?
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, 556, 898, 658, 556.
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}.