LCM of 844, 212, 493, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 212, 493, 748 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 844, 212, 493, 748. So, keep reading to learn more.
Given numbers are 844,212,493,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,212,493,748 is 242581636.
Find LCM of 844,212,493,748 with Prime Factorization
| 2 | 844, 212, 493, 748 |
| 2 | 422, 106, 493, 374 |
| 17 | 211, 53, 493, 187 |
| 211, 53, 29, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 211 x 53 x 29 x 11 = 242581636
Therefore, the lowest common multiple of 844,212,493,748 is 242581636.
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.
844 x 212 x 493 x 748 = 65982204992
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.
844 : 1, 2, 4, 211, 422, 844
212 : 1, 2, 4, 53, 106, 212
493 : 1, 17, 29, 493
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,212,493,748, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
212:2x 2x 53
493:17x 29
748:2x 2x 11x 17
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 17 = 272
Therefore, the value for common factors is 272.
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 = 65982204992/(1x272)
LCM = 65982204992/272
LCM = 242581636
Thus, we can understand that the LCM of 844,212,493,748 is 242581636.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 212, 493, 748
1. What is the LCM of 844, 212, 493, 748?
Answer: LCM of 844, 212, 493, 748 is 242581636.
2. How to calculate the LCM of 844, 212, 493, 748?
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 844, 212, 493, 748.
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}.