LCM of 979, 356, 724, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 356, 724, 611 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, 356, 724, 611. So, keep reading to learn more.
Given numbers are 979,356,724,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,356,724,611 is 433074356.
Find LCM of 979,356,724,611 with Prime Factorization
| 2 | 979, 356, 724, 611 |
| 2 | 979, 178, 362, 611 |
| 89 | 979, 89, 181, 611 |
| 11, 1, 181, 611 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 89 x 11 x 1 x 181 x 611 = 433074356
Therefore, the lowest common multiple of 979,356,724,611 is 433074356.
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 356 x 724 x 611 = 154174470736
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
356 : 1, 2, 4, 89, 178, 356
724 : 1, 2, 4, 181, 362, 724
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,356,724,611, is 1.
Now, the common factors can be found like this.
979:11x 89
356:2x 2x 89
724:2x 2x 181
611:13x 47
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 89 = 356
Therefore, the value for common factors is 356.
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 = 154174470736/(1x356)
LCM = 154174470736/356
LCM = 433074356
Thus, we can understand that the LCM of 979,356,724,611 is 433074356.
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FAQs on LCM of 979, 356, 724, 611
1. What is the LCM of 979, 356, 724, 611?
Answer: LCM of 979, 356, 724, 611 is 433074356.
2. How to calculate the LCM of 979, 356, 724, 611?
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, 356, 724, 611.
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}.