LCM of 874, 253, 942, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 253, 942, 209 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 874, 253, 942, 209. So, keep reading to learn more.
Given numbers are 874,253,942,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,253,942,209 is 4528194.
Find LCM of 874,253,942,209 with Prime Factorization
| 2 | 874, 253, 942, 209 |
| 11 | 437, 253, 471, 209 |
| 19 | 437, 23, 471, 19 |
| 23 | 23, 23, 471, 1 |
| 1, 1, 471, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 23 x 1 x 1 x 471 x 1 = 4528194
Therefore, the lowest common multiple of 874,253,942,209 is 4528194.
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.
874 x 253 x 942 x 209 = 43534057116
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
253 : 1, 11, 23, 253
942 : 1, 2, 3, 6, 157, 314, 471, 942
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,253,942,209, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
253:11x 23
942:2x 3x 157
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19x 23 = 9614
Therefore, the value for common factors is 9614.
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 = 43534057116/(1x9614)
LCM = 43534057116/9614
LCM = 4528194
Thus, we can understand that the LCM of 874,253,942,209 is 4528194.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 253, 942, 209
1. What is the LCM of 874, 253, 942, 209?
Answer: LCM of 874, 253, 942, 209 is 4528194.
2. How to calculate the LCM of 874, 253, 942, 209?
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 874, 253, 942, 209.
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}.