LCM of 597, 804, 314, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 804, 314, 661 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 597, 804, 314, 661. So, keep reading to learn more.
Given numbers are 597,804,314,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,804,314,661 is 16603904892.
Find LCM of 597,804,314,661 with Prime Factorization
| 2 | 597, 804, 314, 661 |
| 3 | 597, 402, 157, 661 |
| 199, 134, 157, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 199 x 134 x 157 x 661 = 16603904892
Therefore, the lowest common multiple of 597,804,314,661 is 16603904892.
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.
597 x 804 x 314 x 661 = 99623429352
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.
597 : 1, 3, 199, 597
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
314 : 1, 2, 157, 314
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,804,314,661, is 1.
Now, the common factors can be found like this.
597:3x 199
804:2x 2x 3x 67
314:2x 157
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 99623429352/(1x6)
LCM = 99623429352/6
LCM = 16603904892
Thus, we can understand that the LCM of 597,804,314,661 is 16603904892.
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FAQs on LCM of 597, 804, 314, 661
1. What is the LCM of 597, 804, 314, 661?
Answer: LCM of 597, 804, 314, 661 is 16603904892.
2. How to calculate the LCM of 597, 804, 314, 661?
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 597, 804, 314, 661.
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}.