LCM of 799, 972, 978, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 972, 978, 357 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 799, 972, 978, 357. So, keep reading to learn more.
Given numbers are 799,972,978,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,972,978,357 is 886132548.
Find LCM of 799,972,978,357 with Prime Factorization
| 2 | 799, 972, 978, 357 |
| 3 | 799, 486, 489, 357 |
| 17 | 799, 162, 163, 119 |
| 47, 162, 163, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 47 x 162 x 163 x 7 = 886132548
Therefore, the lowest common multiple of 799,972,978,357 is 886132548.
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.
799 x 972 x 978 x 357 = 271156559688
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.
799 : 1, 17, 47, 799
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
978 : 1, 2, 3, 6, 163, 326, 489, 978
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,972,978,357, is 1.
Now, the common factors can be found like this.
799:17x 47
972:2x 2x 3x 3x 3x 3x 3
978:2x 3x 163
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17 = 306
Therefore, the value for common factors is 306.
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 = 271156559688/(1x306)
LCM = 271156559688/306
LCM = 886132548
Thus, we can understand that the LCM of 799,972,978,357 is 886132548.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 799, 972, 978, 357
1. What is the LCM of 799, 972, 978, 357?
Answer: LCM of 799, 972, 978, 357 is 886132548.
2. How to calculate the LCM of 799, 972, 978, 357?
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 799, 972, 978, 357.
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}.