LCM of 542, 676, 686, 748, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 676, 686, 748, 960 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 542, 676, 686, 748, 960. So, keep reading to learn more.
Given numbers are 542,676,686,748,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,676,686,748,960 is 2820089912640.
Find LCM of 542,676,686,748,960 with Prime Factorization
| 2 | 542, 676, 686, 748, 960 |
| 2 | 271, 338, 343, 374, 480 |
| 271, 169, 343, 187, 240 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 271 x 169 x 343 x 187 x 240 = 2820089912640
Therefore, the lowest common multiple of 542,676,686,748,960 is 2820089912640.
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.
542 x 676 x 686 x 748 x 960 = 180485754408960
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.
542 : 1, 2, 271, 542
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
686 : 1, 2, 7, 14, 49, 98, 343, 686
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,676,686,748,960, is 2.
Now, the common factors can be found like this.
542:2x 271
676:2x 2x 13x 13
686:2x 7x 7x 7
748:2x 2x 11x 17
960:2x 2x 2x 2x 2x 2x 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 2 = 32
Therefore, the value for common factors is 32.
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 = 180485754408960/(2x32)
LCM = 180485754408960/64
LCM = 2820089912640
Thus, we can understand that the LCM of 542,676,686,748,960 is 2820089912640.
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FAQs on LCM of 542, 676, 686, 748, 960
1. What is the LCM of 542, 676, 686, 748, 960?
Answer: LCM of 542, 676, 686, 748, 960 is 2820089912640.
2. How to calculate the LCM of 542, 676, 686, 748, 960?
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 542, 676, 686, 748, 960.
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}.