LCM of 692, 944, 306, 646, 461
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 944, 306, 646, 461 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 692, 944, 306, 646, 461. So, keep reading to learn more.
Given numbers are 692,944,306,646,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,944,306,646,461 is 218858820624.
Find LCM of 692,944,306,646,461 with Prime Factorization
| 2 | 692, 944, 306, 646, 461 |
| 2 | 346, 472, 153, 323, 461 |
| 17 | 173, 236, 153, 323, 461 |
| 173, 236, 9, 19, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 173 x 236 x 9 x 19 x 461 = 218858820624
Therefore, the lowest common multiple of 692,944,306,646,461 is 218858820624.
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.
692 x 944 x 306 x 646 x 461 = 59529599209728
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.
692 : 1, 2, 4, 173, 346, 692
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
646 : 1, 2, 17, 19, 34, 38, 323, 646
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,944,306,646,461, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
944:2x 2x 2x 2x 59
306:2x 3x 3x 17
646:2x 17x 19
461:461
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 17 = 272
Therefore, the value for common factors is 272.
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 = 59529599209728/(1x272)
LCM = 59529599209728/272
LCM = 218858820624
Thus, we can understand that the LCM of 692,944,306,646,461 is 218858820624.
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FAQs on LCM of 692, 944, 306, 646, 461
1. What is the LCM of 692, 944, 306, 646, 461?
Answer: LCM of 692, 944, 306, 646, 461 is 218858820624.
2. How to calculate the LCM of 692, 944, 306, 646, 461?
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 692, 944, 306, 646, 461.
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}.