LCM of 772, 268, 663, 364, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 268, 663, 364, 716 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 772, 268, 663, 364, 716. So, keep reading to learn more.
Given numbers are 772,268,663,364,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,268,663,364,716 is 42969144036.
Find LCM of 772,268,663,364,716 with Prime Factorization
| 2 | 772, 268, 663, 364, 716 |
| 2 | 386, 134, 663, 182, 358 |
| 13 | 193, 67, 663, 91, 179 |
| 193, 67, 51, 7, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 193 x 67 x 51 x 7 x 179 = 42969144036
Therefore, the lowest common multiple of 772,268,663,364,716 is 42969144036.
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.
772 x 268 x 663 x 364 x 716 = 35750327837952
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.
772 : 1, 2, 4, 193, 386, 772
268 : 1, 2, 4, 67, 134, 268
663 : 1, 3, 13, 17, 39, 51, 221, 663
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,268,663,364,716, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
268:2x 2x 67
663:3x 13x 17
364:2x 2x 7x 13
716:2x 2x 179
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 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 35750327837952/(1x832)
LCM = 35750327837952/832
LCM = 42969144036
Thus, we can understand that the LCM of 772,268,663,364,716 is 42969144036.
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FAQs on LCM of 772, 268, 663, 364, 716
1. What is the LCM of 772, 268, 663, 364, 716?
Answer: LCM of 772, 268, 663, 364, 716 is 42969144036.
2. How to calculate the LCM of 772, 268, 663, 364, 716?
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 772, 268, 663, 364, 716.
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}.