LCM of 701, 510, 887, 279, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 510, 887, 279, 887 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, 510, 887, 279, 887. So, keep reading to learn more.
Given numbers are 701,510,887,279,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,510,887,279,887 is 29491357410.
Find LCM of 701,510,887,279,887 with Prime Factorization
| 3 | 701, 510, 887, 279, 887 |
| 887 | 701, 170, 887, 93, 887 |
| 701, 170, 1, 93, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 887 x 701 x 170 x 1 x 93 x 1 = 29491357410
Therefore, the lowest common multiple of 701,510,887,279,887 is 29491357410.
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 510 x 887 x 279 x 887 = 78476502068010
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
887 : 1, 887
279 : 1, 3, 9, 31, 93, 279
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,510,887,279,887, is 1.
Now, the common factors can be found like this.
701:701
510:2x 3x 5x 17
887:887
279:3x 3x 31
887:887
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 887 = 2661
Therefore, the value for common factors is 2661.
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 = 78476502068010/(1x2661)
LCM = 78476502068010/2661
LCM = 29491357410
Thus, we can understand that the LCM of 701,510,887,279,887 is 29491357410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 701, 510, 887, 279, 887
1. What is the LCM of 701, 510, 887, 279, 887?
Answer: LCM of 701, 510, 887, 279, 887 is 29491357410.
2. How to calculate the LCM of 701, 510, 887, 279, 887?
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, 510, 887, 279, 887.
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}.