LCM of 979, 798, 722, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 798, 722, 532 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 979, 798, 722, 532. So, keep reading to learn more.
Given numbers are 979,798,722,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,798,722,532 is 29687196.
Find LCM of 979,798,722,532 with Prime Factorization
| 2 | 979, 798, 722, 532 |
| 7 | 979, 399, 361, 266 |
| 19 | 979, 57, 361, 38 |
| 979, 3, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 979 x 3 x 19 x 2 = 29687196
Therefore, the lowest common multiple of 979,798,722,532 is 29687196.
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.
979 x 798 x 722 x 532 = 300078177168
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.
979 : 1, 11, 89, 979
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
722 : 1, 2, 19, 38, 361, 722
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,798,722,532, is 1.
Now, the common factors can be found like this.
979:11x 89
798:2x 3x 7x 19
722:2x 19x 19
532:2x 2x 7x 19
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 7x 19x 19 = 10108
Therefore, the value for common factors is 10108.
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 = 300078177168/(1x10108)
LCM = 300078177168/10108
LCM = 29687196
Thus, we can understand that the LCM of 979,798,722,532 is 29687196.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 798, 722, 532
1. What is the LCM of 979, 798, 722, 532?
Answer: LCM of 979, 798, 722, 532 is 29687196.
2. How to calculate the LCM of 979, 798, 722, 532?
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 979, 798, 722, 532.
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}.