LCM of 678, 392, 740, 957, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 392, 740, 957, 539 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 678, 392, 740, 957, 539. So, keep reading to learn more.
Given numbers are 678,392,740,957,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,392,740,957,539 is 7842385320.
Find LCM of 678,392,740,957,539 with Prime Factorization
| 2 | 678, 392, 740, 957, 539 |
| 2 | 339, 196, 370, 957, 539 |
| 3 | 339, 98, 185, 957, 539 |
| 7 | 113, 98, 185, 319, 539 |
| 7 | 113, 14, 185, 319, 77 |
| 11 | 113, 2, 185, 319, 11 |
| 113, 2, 185, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 11 x 113 x 2 x 185 x 29 x 1 = 7842385320
Therefore, the lowest common multiple of 678,392,740,957,539 is 7842385320.
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.
678 x 392 x 740 x 957 x 539 = 101449096499520
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
957 : 1, 3, 11, 29, 33, 87, 319, 957
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,392,740,957,539, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
392:2x 2x 2x 7x 7
740:2x 2x 5x 37
957:3x 11x 29
539:7x 7x 11
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 7x 7x 11 = 12936
Therefore, the value for common factors is 12936.
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 = 101449096499520/(1x12936)
LCM = 101449096499520/12936
LCM = 7842385320
Thus, we can understand that the LCM of 678,392,740,957,539 is 7842385320.
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FAQs on LCM of 678, 392, 740, 957, 539
1. What is the LCM of 678, 392, 740, 957, 539?
Answer: LCM of 678, 392, 740, 957, 539 is 7842385320.
2. How to calculate the LCM of 678, 392, 740, 957, 539?
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 678, 392, 740, 957, 539.
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}.