LCM of 904, 892, 564, 611, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 892, 564, 611, 668 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 904, 892, 564, 611, 668. So, keep reading to learn more.
Given numbers are 904,892,564,611,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,892,564,611,668 is 61709528712.
Find LCM of 904,892,564,611,668 with Prime Factorization
| 2 | 904, 892, 564, 611, 668 |
| 2 | 452, 446, 282, 611, 334 |
| 47 | 226, 223, 141, 611, 167 |
| 226, 223, 3, 13, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 226 x 223 x 3 x 13 x 167 = 61709528712
Therefore, the lowest common multiple of 904,892,564,611,668 is 61709528712.
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.
904 x 892 x 564 x 611 x 668 = 185622262365696
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
892 : 1, 2, 4, 223, 446, 892
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
611 : 1, 13, 47, 611
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,892,564,611,668, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
892:2x 2x 223
564:2x 2x 3x 47
611:13x 47
668:2x 2x 167
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 47 = 3008
Therefore, the value for common factors is 3008.
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 = 185622262365696/(1x3008)
LCM = 185622262365696/3008
LCM = 61709528712
Thus, we can understand that the LCM of 904,892,564,611,668 is 61709528712.
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FAQs on LCM of 904, 892, 564, 611, 668
1. What is the LCM of 904, 892, 564, 611, 668?
Answer: LCM of 904, 892, 564, 611, 668 is 61709528712.
2. How to calculate the LCM of 904, 892, 564, 611, 668?
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 904, 892, 564, 611, 668.
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}.