LCM of 262, 570, 734, 760, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 570, 734, 760, 679 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 262, 570, 734, 760, 679. So, keep reading to learn more.
Given numbers are 262,570,734,760,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,570,734,760,679 is 74428965240.
Find LCM of 262,570,734,760,679 with Prime Factorization
| 2 | 262, 570, 734, 760, 679 |
| 5 | 131, 285, 367, 380, 679 |
| 19 | 131, 57, 367, 76, 679 |
| 131, 3, 367, 4, 679 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 131 x 3 x 367 x 4 x 679 = 74428965240
Therefore, the lowest common multiple of 262,570,734,760,679 is 74428965240.
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.
262 x 570 x 734 x 760 x 679 = 56566013582400
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.
262 : 1, 2, 131, 262
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
734 : 1, 2, 367, 734
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,570,734,760,679, is 1.
Now, the common factors can be found like this.
262:2x 131
570:2x 3x 5x 19
734:2x 367
760:2x 2x 2x 5x 19
679:7x 97
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 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 56566013582400/(1x760)
LCM = 56566013582400/760
LCM = 74428965240
Thus, we can understand that the LCM of 262,570,734,760,679 is 74428965240.
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FAQs on LCM of 262, 570, 734, 760, 679
1. What is the LCM of 262, 570, 734, 760, 679?
Answer: LCM of 262, 570, 734, 760, 679 is 74428965240.
2. How to calculate the LCM of 262, 570, 734, 760, 679?
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 262, 570, 734, 760, 679.
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}.