LCM of 402, 937, 819, 357, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 937, 819, 357, 322 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 402, 937, 819, 357, 322. So, keep reading to learn more.
Given numbers are 402,937,819,357,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,937,819,357,322 is 40207312782.
Find LCM of 402,937,819,357,322 with Prime Factorization
| 2 | 402, 937, 819, 357, 322 |
| 3 | 201, 937, 819, 357, 161 |
| 7 | 67, 937, 273, 119, 161 |
| 67, 937, 39, 17, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 67 x 937 x 39 x 17 x 23 = 40207312782
Therefore, the lowest common multiple of 402,937,819,357,322 is 40207312782.
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.
402 x 937 x 819 x 357 x 322 = 35462849873724
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
937 : 1, 937
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
357 : 1, 3, 7, 17, 21, 51, 119, 357
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,937,819,357,322, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
937:937
819:3x 3x 7x 13
357:3x 7x 17
322:2x 7x 23
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 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 35462849873724/(1x882)
LCM = 35462849873724/882
LCM = 40207312782
Thus, we can understand that the LCM of 402,937,819,357,322 is 40207312782.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 402, 937, 819, 357, 322
1. What is the LCM of 402, 937, 819, 357, 322?
Answer: LCM of 402, 937, 819, 357, 322 is 40207312782.
2. How to calculate the LCM of 402, 937, 819, 357, 322?
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 402, 937, 819, 357, 322.
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}.