LCM of 526, 853, 649, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 853, 649, 671 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 526, 853, 649, 671. So, keep reading to learn more.
Given numbers are 526,853,649,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,853,649,671 is 17762713342.
Find LCM of 526,853,649,671 with Prime Factorization
| 11 | 526, 853, 649, 671 |
| 526, 853, 59, 61 |
Multiply the prime numbers at the bottom and the left side.
11 x 526 x 853 x 59 x 61 = 17762713342
Therefore, the lowest common multiple of 526,853,649,671 is 17762713342.
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.
526 x 853 x 649 x 671 = 195389846762
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.
526 : 1, 2, 263, 526
853 : 1, 853
649 : 1, 11, 59, 649
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,853,649,671, is 1.
Now, the common factors can be found like this.
526:2x 263
853:853
649:11x 59
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 195389846762/(1x11)
LCM = 195389846762/11
LCM = 17762713342
Thus, we can understand that the LCM of 526,853,649,671 is 17762713342.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 526, 853, 649, 671
1. What is the LCM of 526, 853, 649, 671?
Answer: LCM of 526, 853, 649, 671 is 17762713342.
2. How to calculate the LCM of 526, 853, 649, 671?
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 526, 853, 649, 671.
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}.