LCM of 842, 313, 510, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 313, 510, 565 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 842, 313, 510, 565. So, keep reading to learn more.
Given numbers are 842,313,510,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,313,510,565 is 7594077990.
Find LCM of 842,313,510,565 with Prime Factorization
| 2 | 842, 313, 510, 565 |
| 5 | 421, 313, 255, 565 |
| 421, 313, 51, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 421 x 313 x 51 x 113 = 7594077990
Therefore, the lowest common multiple of 842,313,510,565 is 7594077990.
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.
842 x 313 x 510 x 565 = 75940779900
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.
842 : 1, 2, 421, 842
313 : 1, 313
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,313,510,565, is 1.
Now, the common factors can be found like this.
842:2x 421
313:313
510:2x 3x 5x 17
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 75940779900/(1x10)
LCM = 75940779900/10
LCM = 7594077990
Thus, we can understand that the LCM of 842,313,510,565 is 7594077990.
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FAQs on LCM of 842, 313, 510, 565
1. What is the LCM of 842, 313, 510, 565?
Answer: LCM of 842, 313, 510, 565 is 7594077990.
2. How to calculate the LCM of 842, 313, 510, 565?
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 842, 313, 510, 565.
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}.