LCM of 840, 126, 197, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 840, 126, 197, 313 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 840, 126, 197, 313. So, keep reading to learn more.
Given numbers are 840,126,197,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 840,126,197,313 is 155385720.
Find LCM of 840,126,197,313 with Prime Factorization
| 2 | 840, 126, 197, 313 |
| 3 | 420, 63, 197, 313 |
| 7 | 140, 21, 197, 313 |
| 20, 3, 197, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 20 x 3 x 197 x 313 = 155385720
Therefore, the lowest common multiple of 840,126,197,313 is 155385720.
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.
840 x 126 x 197 x 313 = 6526200240
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.
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
197 : 1, 197
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,126,197,313, is 1.
Now, the common factors can be found like this.
840:2x 2x 2x 3x 5x 7
126:2x 3x 3x 7
197:197
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 6526200240/(1x42)
LCM = 6526200240/42
LCM = 155385720
Thus, we can understand that the LCM of 840,126,197,313 is 155385720.
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FAQs on LCM of 840, 126, 197, 313
1. What is the LCM of 840, 126, 197, 313?
Answer: LCM of 840, 126, 197, 313 is 155385720.
2. How to calculate the LCM of 840, 126, 197, 313?
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 840, 126, 197, 313.
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}.