LCM of 852, 192, 292, 756, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 192, 292, 756, 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 852, 192, 292, 756, 978. So, keep reading to learn more.
Given numbers are 852,192,292,756,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,192,292,756,978 is 10219051584.
Find LCM of 852,192,292,756,978 with Prime Factorization
| 2 | 852, 192, 292, 756, 978 |
| 2 | 426, 96, 146, 378, 489 |
| 3 | 213, 48, 73, 189, 489 |
| 71, 16, 73, 63, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 16 x 73 x 63 x 163 = 10219051584
Therefore, the lowest common multiple of 852,192,292,756,978 is 10219051584.
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.
852 x 192 x 292 x 756 x 978 = 35317042274304
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
292 : 1, 2, 4, 73, 146, 292
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 852,192,292,756,978, is 2.
Now, the common factors can be found like this.
852:2x 2x 3x 71
192:2x 2x 2x 2x 2x 2x 3
292:2x 2x 73
756:2x 2x 3x 3x 3x 7
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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 35317042274304/(2x1728)
LCM = 35317042274304/3456
LCM = 10219051584
Thus, we can understand that the LCM of 852,192,292,756,978 is 10219051584.
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FAQs on LCM of 852, 192, 292, 756, 978
1. What is the LCM of 852, 192, 292, 756, 978?
Answer: LCM of 852, 192, 292, 756, 978 is 10219051584.
2. How to calculate the LCM of 852, 192, 292, 756, 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 852, 192, 292, 756, 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}.