LCM of 977, 253, 713, 628, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 253, 713, 628, 314 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 977, 253, 713, 628, 314. So, keep reading to learn more.
Given numbers are 977,253,713,628,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,253,713,628,314 is 4812119708.
Find LCM of 977,253,713,628,314 with Prime Factorization
| 2 | 977, 253, 713, 628, 314 |
| 23 | 977, 253, 713, 314, 157 |
| 157 | 977, 11, 31, 314, 157 |
| 977, 11, 31, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 157 x 977 x 11 x 31 x 2 x 1 = 4812119708
Therefore, the lowest common multiple of 977,253,713,628,314 is 4812119708.
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.
977 x 253 x 713 x 628 x 314 = 34753128531176
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.
977 : 1, 977
253 : 1, 11, 23, 253
713 : 1, 23, 31, 713
628 : 1, 2, 4, 157, 314, 628
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,253,713,628,314, is 1.
Now, the common factors can be found like this.
977:977
253:11x 23
713:23x 31
628:2x 2x 157
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 157 = 7222
Therefore, the value for common factors is 7222.
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 = 34753128531176/(1x7222)
LCM = 34753128531176/7222
LCM = 4812119708
Thus, we can understand that the LCM of 977,253,713,628,314 is 4812119708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 977, 253, 713, 628, 314
1. What is the LCM of 977, 253, 713, 628, 314?
Answer: LCM of 977, 253, 713, 628, 314 is 4812119708.
2. How to calculate the LCM of 977, 253, 713, 628, 314?
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 977, 253, 713, 628, 314.
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}.