LCM of 262, 796, 750, 516, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 796, 750, 516, 752 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, 796, 750, 516, 752. So, keep reading to learn more.
Given numbers are 262,796,750,516,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,796,750,516,752 is 316112694000.
Find LCM of 262,796,750,516,752 with Prime Factorization
| 2 | 262, 796, 750, 516, 752 |
| 2 | 131, 398, 375, 258, 376 |
| 3 | 131, 199, 375, 129, 188 |
| 131, 199, 125, 43, 188 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 131 x 199 x 125 x 43 x 188 = 316112694000
Therefore, the lowest common multiple of 262,796,750,516,752 is 316112694000.
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 796 x 750 x 516 x 752 = 60693637248000
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
796 : 1, 2, 4, 199, 398, 796
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,796,750,516,752, is 2.
Now, the common factors can be found like this.
262:2x 131
796:2x 2x 199
750:2x 3x 5x 5x 5
516:2x 2x 3x 43
752:2x 2x 2x 2x 47
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 60693637248000/(2x96)
LCM = 60693637248000/192
LCM = 316112694000
Thus, we can understand that the LCM of 262,796,750,516,752 is 316112694000.
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FAQs on LCM of 262, 796, 750, 516, 752
1. What is the LCM of 262, 796, 750, 516, 752?
Answer: LCM of 262, 796, 750, 516, 752 is 316112694000.
2. How to calculate the LCM of 262, 796, 750, 516, 752?
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, 796, 750, 516, 752.
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}.