LCM of 701, 358, 782, 537, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 358, 782, 537, 879 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 701, 358, 782, 537, 879. So, keep reading to learn more.
Given numbers are 701,358,782,537,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,358,782,537,879 is 86251504062.
Find LCM of 701,358,782,537,879 with Prime Factorization
| 2 | 701, 358, 782, 537, 879 |
| 3 | 701, 179, 391, 537, 879 |
| 179 | 701, 179, 391, 179, 293 |
| 701, 1, 391, 1, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 701 x 1 x 391 x 1 x 293 = 86251504062
Therefore, the lowest common multiple of 701,358,782,537,879 is 86251504062.
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.
701 x 358 x 782 x 537 x 879 = 92634115362588
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.
701 : 1, 701
358 : 1, 2, 179, 358
782 : 1, 2, 17, 23, 34, 46, 391, 782
537 : 1, 3, 179, 537
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,358,782,537,879, is 1.
Now, the common factors can be found like this.
701:701
358:2x 179
782:2x 17x 23
537:3x 179
879:3x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 179 = 1074
Therefore, the value for common factors is 1074.
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 = 92634115362588/(1x1074)
LCM = 92634115362588/1074
LCM = 86251504062
Thus, we can understand that the LCM of 701,358,782,537,879 is 86251504062.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 701, 358, 782, 537, 879
1. What is the LCM of 701, 358, 782, 537, 879?
Answer: LCM of 701, 358, 782, 537, 879 is 86251504062.
2. How to calculate the LCM of 701, 358, 782, 537, 879?
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 701, 358, 782, 537, 879.
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}.