LCM of 560, 672, 240, 282, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 672, 240, 282, 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 560, 672, 240, 282, 978. So, keep reading to learn more.
Given numbers are 560,672,240,282,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,672,240,282,978 is 25740960.
Find LCM of 560,672,240,282,978 with Prime Factorization
| 2 | 560, 672, 240, 282, 978 |
| 2 | 280, 336, 120, 141, 489 |
| 2 | 140, 168, 60, 141, 489 |
| 2 | 70, 84, 30, 141, 489 |
| 3 | 35, 42, 15, 141, 489 |
| 5 | 35, 14, 5, 47, 163 |
| 7 | 7, 14, 1, 47, 163 |
| 1, 2, 1, 47, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 2 x 1 x 47 x 163 = 25740960
Therefore, the lowest common multiple of 560,672,240,282,978 is 25740960.
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.
560 x 672 x 240 x 282 x 978 = 24909012172800
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
282 : 1, 2, 3, 6, 47, 94, 141, 282
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,672,240,282,978, is 2.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
672:2x 2x 2x 2x 2x 3x 7
240:2x 2x 2x 2x 3x 5
282:2x 3x 47
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 2x 2x 2x 2x 2x 2x 2x 3x 3x 3x 5x 7 = 483840
Therefore, the value for common factors is 483840.
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 = 24909012172800/(2x483840)
LCM = 24909012172800/967680
LCM = 25740960
Thus, we can understand that the LCM of 560,672,240,282,978 is 25740960.
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FAQs on LCM of 560, 672, 240, 282, 978
1. What is the LCM of 560, 672, 240, 282, 978?
Answer: LCM of 560, 672, 240, 282, 978 is 25740960.
2. How to calculate the LCM of 560, 672, 240, 282, 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 560, 672, 240, 282, 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}.