LCM of 313, 716, 206, 278, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 716, 206, 278, 203 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, 716, 206, 278, 203. So, keep reading to learn more.
Given numbers are 313,716,206,278,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,716,206,278,203 is 651336509908.
Find LCM of 313,716,206,278,203 with Prime Factorization
| 2 | 313, 716, 206, 278, 203 |
| 313, 358, 103, 139, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 313 x 358 x 103 x 139 x 203 = 651336509908
Therefore, the lowest common multiple of 313,716,206,278,203 is 651336509908.
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 716 x 206 x 278 x 203 = 2605346039632
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
716 : 1, 2, 4, 179, 358, 716
206 : 1, 2, 103, 206
278 : 1, 2, 139, 278
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,716,206,278,203, is 1.
Now, the common factors can be found like this.
313:313
716:2x 2x 179
206:2x 103
278:2x 139
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 2605346039632/(1x4)
LCM = 2605346039632/4
LCM = 651336509908
Thus, we can understand that the LCM of 313,716,206,278,203 is 651336509908.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 716, 206, 278, 203
1. What is the LCM of 313, 716, 206, 278, 203?
Answer: LCM of 313, 716, 206, 278, 203 is 651336509908.
2. How to calculate the LCM of 313, 716, 206, 278, 203?
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, 716, 206, 278, 203.
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}.