LCM of 742, 144, 956, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 144, 956, 540 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 742, 144, 956, 540. So, keep reading to learn more.
Given numbers are 742,144,956,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,144,956,540 is 191525040.
Find LCM of 742,144,956,540 with Prime Factorization
| 2 | 742, 144, 956, 540 |
| 2 | 371, 72, 478, 270 |
| 3 | 371, 36, 239, 135 |
| 3 | 371, 12, 239, 45 |
| 371, 4, 239, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 371 x 4 x 239 x 15 = 191525040
Therefore, the lowest common multiple of 742,144,956,540 is 191525040.
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.
742 x 144 x 956 x 540 = 55159211520
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
956 : 1, 2, 4, 239, 478, 956
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,144,956,540, is 2.
Now, the common factors can be found like this.
742:2x 7x 53
144:2x 2x 2x 2x 3x 3
956:2x 2x 239
540:2x 2x 3x 3x 3x 5
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 55159211520/(2x144)
LCM = 55159211520/288
LCM = 191525040
Thus, we can understand that the LCM of 742,144,956,540 is 191525040.
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FAQs on LCM of 742, 144, 956, 540
1. What is the LCM of 742, 144, 956, 540?
Answer: LCM of 742, 144, 956, 540 is 191525040.
2. How to calculate the LCM of 742, 144, 956, 540?
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 742, 144, 956, 540.
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}.