LCM of 313, 157, 265, 583, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 157, 265, 583, 710 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 313, 157, 265, 583, 710. So, keep reading to learn more.
Given numbers are 313,157,265,583,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,157,265,583,710 is 20340934130.
Find LCM of 313,157,265,583,710 with Prime Factorization
| 5 | 313, 157, 265, 583, 710 |
| 53 | 313, 157, 53, 583, 142 |
| 313, 157, 1, 11, 142 |
Multiply the prime numbers at the bottom and the left side.
5 x 53 x 313 x 157 x 1 x 11 x 142 = 20340934130
Therefore, the lowest common multiple of 313,157,265,583,710 is 20340934130.
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.
313 x 157 x 265 x 583 x 710 = 5390347544450
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.
313 : 1, 313
157 : 1, 157
265 : 1, 5, 53, 265
583 : 1, 11, 53, 583
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,157,265,583,710, is 1.
Now, the common factors can be found like this.
313:313
157:157
265:5x 53
583:11x 53
710:2x 5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 53 = 265
Therefore, the value for common factors is 265.
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 = 5390347544450/(1x265)
LCM = 5390347544450/265
LCM = 20340934130
Thus, we can understand that the LCM of 313,157,265,583,710 is 20340934130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 157, 265, 583, 710
1. What is the LCM of 313, 157, 265, 583, 710?
Answer: LCM of 313, 157, 265, 583, 710 is 20340934130.
2. How to calculate the LCM of 313, 157, 265, 583, 710?
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 313, 157, 265, 583, 710.
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}.