LCM of 768, 542, 342, 390, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 542, 342, 390, 988 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 768, 542, 342, 390, 988. So, keep reading to learn more.
Given numbers are 768,542,342,390,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,542,342,390,988 is 771114240.
Find LCM of 768,542,342,390,988 with Prime Factorization
| 2 | 768, 542, 342, 390, 988 |
| 2 | 384, 271, 171, 195, 494 |
| 3 | 192, 271, 171, 195, 247 |
| 13 | 64, 271, 57, 65, 247 |
| 19 | 64, 271, 57, 5, 19 |
| 64, 271, 3, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 64 x 271 x 3 x 5 x 1 = 771114240
Therefore, the lowest common multiple of 768,542,342,390,988 is 771114240.
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.
768 x 542 x 342 x 390 x 988 = 54853982576640
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
542 : 1, 2, 271, 542
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,542,342,390,988, is 2.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
542:2x 271
342:2x 3x 3x 19
390:2x 3x 5x 13
988:2x 2x 13x 19
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 3x 13x 19 = 35568
Therefore, the value for common factors is 35568.
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 = 54853982576640/(2x35568)
LCM = 54853982576640/71136
LCM = 771114240
Thus, we can understand that the LCM of 768,542,342,390,988 is 771114240.
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FAQs on LCM of 768, 542, 342, 390, 988
1. What is the LCM of 768, 542, 342, 390, 988?
Answer: LCM of 768, 542, 342, 390, 988 is 771114240.
2. How to calculate the LCM of 768, 542, 342, 390, 988?
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 768, 542, 342, 390, 988.
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}.