LCM of 268, 759, 792, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 759, 792, 714 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 268, 759, 792, 714. So, keep reading to learn more.
Given numbers are 268,759,792,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,759,792,714 is 145236168.
Find LCM of 268,759,792,714 with Prime Factorization
| 2 | 268, 759, 792, 714 |
| 2 | 134, 759, 396, 357 |
| 3 | 67, 759, 198, 357 |
| 11 | 67, 253, 66, 119 |
| 67, 23, 6, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 67 x 23 x 6 x 119 = 145236168
Therefore, the lowest common multiple of 268,759,792,714 is 145236168.
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.
268 x 759 x 792 x 714 = 115027045056
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.
268 : 1, 2, 4, 67, 134, 268
759 : 1, 3, 11, 23, 33, 69, 253, 759
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,759,792,714, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
759:3x 11x 23
792:2x 2x 2x 3x 3x 11
714:2x 3x 7x 17
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 115027045056/(1x792)
LCM = 115027045056/792
LCM = 145236168
Thus, we can understand that the LCM of 268,759,792,714 is 145236168.
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FAQs on LCM of 268, 759, 792, 714
1. What is the LCM of 268, 759, 792, 714?
Answer: LCM of 268, 759, 792, 714 is 145236168.
2. How to calculate the LCM of 268, 759, 792, 714?
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 268, 759, 792, 714.
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}.