LCM of 506, 734, 340, 734, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 734, 340, 734, 760 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 506, 734, 340, 734, 760. So, keep reading to learn more.
Given numbers are 506,734,340,734,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,734,340,734,760 is 1199634920.
Find LCM of 506,734,340,734,760 with Prime Factorization
| 2 | 506, 734, 340, 734, 760 |
| 2 | 253, 367, 170, 367, 380 |
| 5 | 253, 367, 85, 367, 190 |
| 367 | 253, 367, 17, 367, 38 |
| 253, 1, 17, 1, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 367 x 253 x 1 x 17 x 1 x 38 = 1199634920
Therefore, the lowest common multiple of 506,734,340,734,760 is 1199634920.
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.
506 x 734 x 340 x 734 x 760 = 70442562502400
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
734 : 1, 2, 367, 734
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
734 : 1, 2, 367, 734
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,734,340,734,760, is 2.
Now, the common factors can be found like this.
506:2x 11x 23
734:2x 367
340:2x 2x 5x 17
734:2x 367
760:2x 2x 2x 5x 19
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 5x 367 = 29360
Therefore, the value for common factors is 29360.
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 = 70442562502400/(2x29360)
LCM = 70442562502400/58720
LCM = 1199634920
Thus, we can understand that the LCM of 506,734,340,734,760 is 1199634920.
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FAQs on LCM of 506, 734, 340, 734, 760
1. What is the LCM of 506, 734, 340, 734, 760?
Answer: LCM of 506, 734, 340, 734, 760 is 1199634920.
2. How to calculate the LCM of 506, 734, 340, 734, 760?
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 506, 734, 340, 734, 760.
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}.