LCM of 916, 399, 361, 318, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 399, 361, 318, 722 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 916, 399, 361, 318, 722. So, keep reading to learn more.
Given numbers are 916,399,361,318,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,399,361,318,722 is 368042388.
Find LCM of 916,399,361,318,722 with Prime Factorization
| 2 | 916, 399, 361, 318, 722 |
| 3 | 458, 399, 361, 159, 361 |
| 19 | 458, 133, 361, 53, 361 |
| 19 | 458, 7, 19, 53, 19 |
| 458, 7, 1, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 19 x 458 x 7 x 1 x 53 x 1 = 368042388
Therefore, the lowest common multiple of 916,399,361,318,722 is 368042388.
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.
916 x 399 x 361 x 318 x 722 = 30292832871504
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.
916 : 1, 2, 4, 229, 458, 916
399 : 1, 3, 7, 19, 21, 57, 133, 399
361 : 1, 19, 361
318 : 1, 2, 3, 6, 53, 106, 159, 318
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,399,361,318,722, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
399:3x 7x 19
361:19x 19
318:2x 3x 53
722:2x 19x 19
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 3x 19x 19x 19 = 82308
Therefore, the value for common factors is 82308.
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 = 30292832871504/(1x82308)
LCM = 30292832871504/82308
LCM = 368042388
Thus, we can understand that the LCM of 916,399,361,318,722 is 368042388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 916, 399, 361, 318, 722
1. What is the LCM of 916, 399, 361, 318, 722?
Answer: LCM of 916, 399, 361, 318, 722 is 368042388.
2. How to calculate the LCM of 916, 399, 361, 318, 722?
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 916, 399, 361, 318, 722.
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}.