LCM of 356, 976, 986, 154, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 976, 986, 154, 445 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 356, 976, 986, 154, 445. So, keep reading to learn more.
Given numbers are 356,976,986,154,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,976,986,154,445 is 16487221520.
Find LCM of 356,976,986,154,445 with Prime Factorization
| 2 | 356, 976, 986, 154, 445 |
| 2 | 178, 488, 493, 77, 445 |
| 89 | 89, 244, 493, 77, 445 |
| 1, 244, 493, 77, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 89 x 1 x 244 x 493 x 77 x 5 = 16487221520
Therefore, the lowest common multiple of 356,976,986,154,445 is 16487221520.
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.
356 x 976 x 986 x 154 x 445 = 23477803444480
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.
356 : 1, 2, 4, 89, 178, 356
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
986 : 1, 2, 17, 29, 34, 58, 493, 986
154 : 1, 2, 7, 11, 14, 22, 77, 154
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,976,986,154,445, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
976:2x 2x 2x 2x 61
986:2x 17x 29
154:2x 7x 11
445:5x 89
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 2x 2x 89 = 1424
Therefore, the value for common factors is 1424.
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 = 23477803444480/(1x1424)
LCM = 23477803444480/1424
LCM = 16487221520
Thus, we can understand that the LCM of 356,976,986,154,445 is 16487221520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 356, 976, 986, 154, 445
1. What is the LCM of 356, 976, 986, 154, 445?
Answer: LCM of 356, 976, 986, 154, 445 is 16487221520.
2. How to calculate the LCM of 356, 976, 986, 154, 445?
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 356, 976, 986, 154, 445.
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}.