LCM of 974, 684, 628, 657, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 684, 628, 657, 446 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 974, 684, 628, 657, 446. So, keep reading to learn more.
Given numbers are 974,684,628,657,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,684,628,657,446 is 851358425724.
Find LCM of 974,684,628,657,446 with Prime Factorization
| 2 | 974, 684, 628, 657, 446 |
| 2 | 487, 342, 314, 657, 223 |
| 3 | 487, 171, 157, 657, 223 |
| 3 | 487, 57, 157, 219, 223 |
| 487, 19, 157, 73, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 487 x 19 x 157 x 73 x 223 = 851358425724
Therefore, the lowest common multiple of 974,684,628,657,446 is 851358425724.
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.
974 x 684 x 628 x 657 x 446 = 122595613304256
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.
974 : 1, 2, 487, 974
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
628 : 1, 2, 4, 157, 314, 628
657 : 1, 3, 9, 73, 219, 657
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,684,628,657,446, is 1.
Now, the common factors can be found like this.
974:2x 487
684:2x 2x 3x 3x 19
628:2x 2x 157
657:3x 3x 73
446:2x 223
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 122595613304256/(1x144)
LCM = 122595613304256/144
LCM = 851358425724
Thus, we can understand that the LCM of 974,684,628,657,446 is 851358425724.
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FAQs on LCM of 974, 684, 628, 657, 446
1. What is the LCM of 974, 684, 628, 657, 446?
Answer: LCM of 974, 684, 628, 657, 446 is 851358425724.
2. How to calculate the LCM of 974, 684, 628, 657, 446?
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 974, 684, 628, 657, 446.
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}.