LCM of 962, 540, 393, 667, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 540, 393, 667, 748 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, 540, 393, 667, 748. So, keep reading to learn more.
Given numbers are 962,540,393,667,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,540,393,667,748 is 4244021470260.
Find LCM of 962,540,393,667,748 with Prime Factorization
| 2 | 962, 540, 393, 667, 748 |
| 2 | 481, 270, 393, 667, 374 |
| 3 | 481, 135, 393, 667, 187 |
| 481, 45, 131, 667, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 481 x 45 x 131 x 667 x 187 = 4244021470260
Therefore, the lowest common multiple of 962,540,393,667,748 is 4244021470260.
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 540 x 393 x 667 x 748 = 101856515286240
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
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
393 : 1, 3, 131, 393
667 : 1, 23, 29, 667
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,540,393,667,748, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
540:2x 2x 3x 3x 3x 5
393:3x 131
667:23x 29
748:2x 2x 11x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 101856515286240/(1x24)
LCM = 101856515286240/24
LCM = 4244021470260
Thus, we can understand that the LCM of 962,540,393,667,748 is 4244021470260.
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FAQs on LCM of 962, 540, 393, 667, 748
1. What is the LCM of 962, 540, 393, 667, 748?
Answer: LCM of 962, 540, 393, 667, 748 is 4244021470260.
2. How to calculate the LCM of 962, 540, 393, 667, 748?
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, 540, 393, 667, 748.
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}.