LCM of 985, 480, 892, 542, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 480, 892, 542, 764 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 985, 480, 892, 542, 764. So, keep reading to learn more.
Given numbers are 985,480,892,542,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,480,892,542,764 is 1091477995680.
Find LCM of 985,480,892,542,764 with Prime Factorization
| 2 | 985, 480, 892, 542, 764 |
| 2 | 985, 240, 446, 271, 382 |
| 5 | 985, 120, 223, 271, 191 |
| 197, 24, 223, 271, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 197 x 24 x 223 x 271 x 191 = 1091477995680
Therefore, the lowest common multiple of 985,480,892,542,764 is 1091477995680.
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.
985 x 480 x 892 x 542 x 764 = 174636479308800
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.
985 : 1, 5, 197, 985
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
892 : 1, 2, 4, 223, 446, 892
542 : 1, 2, 271, 542
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,480,892,542,764, is 1.
Now, the common factors can be found like this.
985:5x 197
480:2x 2x 2x 2x 2x 3x 5
892:2x 2x 223
542:2x 271
764:2x 2x 191
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 5 = 160
Therefore, the value for common factors is 160.
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 = 174636479308800/(1x160)
LCM = 174636479308800/160
LCM = 1091477995680
Thus, we can understand that the LCM of 985,480,892,542,764 is 1091477995680.
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FAQs on LCM of 985, 480, 892, 542, 764
1. What is the LCM of 985, 480, 892, 542, 764?
Answer: LCM of 985, 480, 892, 542, 764 is 1091477995680.
2. How to calculate the LCM of 985, 480, 892, 542, 764?
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 985, 480, 892, 542, 764.
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}.