LCM of 700, 879, 760, 268, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 879, 760, 268, 201 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 700, 879, 760, 268, 201. So, keep reading to learn more.
Given numbers are 700,879,760,268,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,879,760,268,201 is 1566553800.
Find LCM of 700,879,760,268,201 with Prime Factorization
| 2 | 700, 879, 760, 268, 201 |
| 2 | 350, 879, 380, 134, 201 |
| 3 | 175, 879, 190, 67, 201 |
| 5 | 175, 293, 190, 67, 67 |
| 67 | 35, 293, 38, 67, 67 |
| 35, 293, 38, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 67 x 35 x 293 x 38 x 1 x 1 = 1566553800
Therefore, the lowest common multiple of 700,879,760,268,201 is 1566553800.
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.
700 x 879 x 760 x 268 x 201 = 25190185104000
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
879 : 1, 3, 293, 879
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
268 : 1, 2, 4, 67, 134, 268
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,879,760,268,201, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
879:3x 293
760:2x 2x 2x 5x 19
268:2x 2x 67
201:3x 67
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 2x 2x 3x 5x 67 = 16080
Therefore, the value for common factors is 16080.
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 = 25190185104000/(1x16080)
LCM = 25190185104000/16080
LCM = 1566553800
Thus, we can understand that the LCM of 700,879,760,268,201 is 1566553800.
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FAQs on LCM of 700, 879, 760, 268, 201
1. What is the LCM of 700, 879, 760, 268, 201?
Answer: LCM of 700, 879, 760, 268, 201 is 1566553800.
2. How to calculate the LCM of 700, 879, 760, 268, 201?
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 700, 879, 760, 268, 201.
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}.