LCM of 962, 555, 540, 601, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 555, 540, 601, 756 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 962, 555, 540, 601, 756. So, keep reading to learn more.
Given numbers are 962,555,540,601,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,555,540,601,756 is 1092726180.
Find LCM of 962,555,540,601,756 with Prime Factorization
| 2 | 962, 555, 540, 601, 756 |
| 2 | 481, 555, 270, 601, 378 |
| 3 | 481, 555, 135, 601, 189 |
| 3 | 481, 185, 45, 601, 63 |
| 3 | 481, 185, 15, 601, 21 |
| 5 | 481, 185, 5, 601, 7 |
| 37 | 481, 37, 1, 601, 7 |
| 13, 1, 1, 601, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 37 x 13 x 1 x 1 x 601 x 7 = 1092726180
Therefore, the lowest common multiple of 962,555,540,601,756 is 1092726180.
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.
962 x 555 x 540 x 601 x 756 = 130996014458400
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
555 : 1, 3, 5, 15, 37, 111, 185, 555
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
601 : 1, 601
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,555,540,601,756, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
555:3x 5x 37
540:2x 2x 3x 3x 3x 5
601:601
756:2x 2x 3x 3x 3x 7
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 3x 3x 5x 37 = 119880
Therefore, the value for common factors is 119880.
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 = 130996014458400/(1x119880)
LCM = 130996014458400/119880
LCM = 1092726180
Thus, we can understand that the LCM of 962,555,540,601,756 is 1092726180.
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FAQs on LCM of 962, 555, 540, 601, 756
1. What is the LCM of 962, 555, 540, 601, 756?
Answer: LCM of 962, 555, 540, 601, 756 is 1092726180.
2. How to calculate the LCM of 962, 555, 540, 601, 756?
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 962, 555, 540, 601, 756.
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}.