LCM of 567, 576, 426, 357, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 576, 426, 357, 978 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 567, 576, 426, 357, 978. So, keep reading to learn more.
Given numbers are 567,576,426,357,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,576,426,357,978 is 7139337408.
Find LCM of 567,576,426,357,978 with Prime Factorization
| 2 | 567, 576, 426, 357, 978 |
| 3 | 567, 288, 213, 357, 489 |
| 3 | 189, 96, 71, 119, 163 |
| 7 | 63, 32, 71, 119, 163 |
| 9, 32, 71, 17, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 9 x 32 x 71 x 17 x 163 = 7139337408
Therefore, the lowest common multiple of 567,576,426,357,978 is 7139337408.
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.
567 x 576 x 426 x 357 x 978 = 48576051724032
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
426 : 1, 2, 3, 6, 71, 142, 213, 426
357 : 1, 3, 7, 17, 21, 51, 119, 357
978 : 1, 2, 3, 6, 163, 326, 489, 978
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,576,426,357,978, is 3.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
576:2x 2x 2x 2x 2x 2x 3x 3
426:2x 3x 71
357:3x 7x 17
978:2x 3x 163
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 3x 3x 3x 3x 7 = 2268
Therefore, the value for common factors is 2268.
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 = 48576051724032/(3x2268)
LCM = 48576051724032/6804
LCM = 7139337408
Thus, we can understand that the LCM of 567,576,426,357,978 is 7139337408.
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FAQs on LCM of 567, 576, 426, 357, 978
1. What is the LCM of 567, 576, 426, 357, 978?
Answer: LCM of 567, 576, 426, 357, 978 is 7139337408.
2. How to calculate the LCM of 567, 576, 426, 357, 978?
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 567, 576, 426, 357, 978.
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}.