LCM of 361, 892, 583, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 892, 583, 159 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 361, 892, 583, 159. So, keep reading to learn more.
Given numbers are 361,892,583,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,892,583,159 is 563198988.
Find LCM of 361,892,583,159 with Prime Factorization
| 53 | 361, 892, 583, 159 |
| 361, 892, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
53 x 361 x 892 x 11 x 3 = 563198988
Therefore, the lowest common multiple of 361,892,583,159 is 563198988.
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.
361 x 892 x 583 x 159 = 29849546364
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.
361 : 1, 19, 361
892 : 1, 2, 4, 223, 446, 892
583 : 1, 11, 53, 583
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,892,583,159, is 1.
Now, the common factors can be found like this.
361:19x 19
892:2x 2x 223
583:11x 53
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
53 = 53
Therefore, the value for common factors is 53.
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 = 29849546364/(1x53)
LCM = 29849546364/53
LCM = 563198988
Thus, we can understand that the LCM of 361,892,583,159 is 563198988.
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FAQs on LCM of 361, 892, 583, 159
1. What is the LCM of 361, 892, 583, 159?
Answer: LCM of 361, 892, 583, 159 is 563198988.
2. How to calculate the LCM of 361, 892, 583, 159?
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 361, 892, 583, 159.
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}.