LCM of 661, 342, 704, 384, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 342, 704, 384, 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 661, 342, 704, 384, 978. So, keep reading to learn more.
Given numbers are 661,342,704,384,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,342,704,384,978 is 25941066624.
Find LCM of 661,342,704,384,978 with Prime Factorization
| 2 | 661, 342, 704, 384, 978 |
| 2 | 661, 171, 352, 192, 489 |
| 2 | 661, 171, 176, 96, 489 |
| 2 | 661, 171, 88, 48, 489 |
| 2 | 661, 171, 44, 24, 489 |
| 2 | 661, 171, 22, 12, 489 |
| 3 | 661, 171, 11, 6, 489 |
| 661, 57, 11, 2, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 661 x 57 x 11 x 2 x 163 = 25941066624
Therefore, the lowest common multiple of 661,342,704,384,978 is 25941066624.
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.
661 x 342 x 704 x 384 x 978 = 59768217501696
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.
661 : 1, 661
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,342,704,384,978, is 1.
Now, the common factors can be found like this.
661:661
342:2x 3x 3x 19
704:2x 2x 2x 2x 2x 2x 11
384:2x 2x 2x 2x 2x 2x 2x 3
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 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 59768217501696/(1x2304)
LCM = 59768217501696/2304
LCM = 25941066624
Thus, we can understand that the LCM of 661,342,704,384,978 is 25941066624.
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FAQs on LCM of 661, 342, 704, 384, 978
1. What is the LCM of 661, 342, 704, 384, 978?
Answer: LCM of 661, 342, 704, 384, 978 is 25941066624.
2. How to calculate the LCM of 661, 342, 704, 384, 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 661, 342, 704, 384, 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}.