LCM of 972, 851, 403, 310, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 851, 403, 310, 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 972, 851, 403, 310, 314. So, keep reading to learn more.
Given numbers are 972,851,403,310,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,851,403,310,314 is 261679998060.
Find LCM of 972,851,403,310,314 with Prime Factorization
| 2 | 972, 851, 403, 310, 314 |
| 31 | 486, 851, 403, 155, 157 |
| 486, 851, 13, 5, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 486 x 851 x 13 x 5 x 157 = 261679998060
Therefore, the lowest common multiple of 972,851,403,310,314 is 261679998060.
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.
972 x 851 x 403 x 310 x 314 = 32448319759440
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
851 : 1, 23, 37, 851
403 : 1, 13, 31, 403
310 : 1, 2, 5, 10, 31, 62, 155, 310
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,851,403,310,314, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
851:23x 37
403:13x 31
310:2x 5x 31
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 2x 31 = 124
Therefore, the value for common factors is 124.
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 = 32448319759440/(1x124)
LCM = 32448319759440/124
LCM = 261679998060
Thus, we can understand that the LCM of 972,851,403,310,314 is 261679998060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 972, 851, 403, 310, 314
1. What is the LCM of 972, 851, 403, 310, 314?
Answer: LCM of 972, 851, 403, 310, 314 is 261679998060.
2. How to calculate the LCM of 972, 851, 403, 310, 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 972, 851, 403, 310, 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}.