LCM of 588, 672, 726, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 672, 726, 765 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 588, 672, 726, 765. So, keep reading to learn more.
Given numbers are 588,672,726,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,672,726,765 is 145141920.
Find LCM of 588,672,726,765 with Prime Factorization
| 2 | 588, 672, 726, 765 |
| 2 | 294, 336, 363, 765 |
| 3 | 147, 168, 363, 765 |
| 7 | 49, 56, 121, 255 |
| 7, 8, 121, 255 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 8 x 121 x 255 = 145141920
Therefore, the lowest common multiple of 588,672,726,765 is 145141920.
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.
588 x 672 x 726 x 765 = 219454583040
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,672,726,765, is 3.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
672:2x 2x 2x 2x 2x 3x 7
726:2x 3x 11x 11
765:3x 3x 5x 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 7 = 504
Therefore, the value for common factors is 504.
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 = 219454583040/(3x504)
LCM = 219454583040/1512
LCM = 145141920
Thus, we can understand that the LCM of 588,672,726,765 is 145141920.
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FAQs on LCM of 588, 672, 726, 765
1. What is the LCM of 588, 672, 726, 765?
Answer: LCM of 588, 672, 726, 765 is 145141920.
2. How to calculate the LCM of 588, 672, 726, 765?
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 588, 672, 726, 765.
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}.