LCM of 974, 209, 871, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 209, 871, 646 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 974, 209, 871, 646. So, keep reading to learn more.
Given numbers are 974,209,871,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,209,871,646 is 3014201762.
Find LCM of 974,209,871,646 with Prime Factorization
| 2 | 974, 209, 871, 646 |
| 19 | 487, 209, 871, 323 |
| 487, 11, 871, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 487 x 11 x 871 x 17 = 3014201762
Therefore, the lowest common multiple of 974,209,871,646 is 3014201762.
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.
974 x 209 x 871 x 646 = 114539666956
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.
974 : 1, 2, 487, 974
209 : 1, 11, 19, 209
871 : 1, 13, 67, 871
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,209,871,646, is 1.
Now, the common factors can be found like this.
974:2x 487
209:11x 19
871:13x 67
646:2x 17x 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 19 = 38
Therefore, the value for common factors is 38.
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 = 114539666956/(1x38)
LCM = 114539666956/38
LCM = 3014201762
Thus, we can understand that the LCM of 974,209,871,646 is 3014201762.
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FAQs on LCM of 974, 209, 871, 646
1. What is the LCM of 974, 209, 871, 646?
Answer: LCM of 974, 209, 871, 646 is 3014201762.
2. How to calculate the LCM of 974, 209, 871, 646?
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 974, 209, 871, 646.
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}.