LCM of 334, 983, 940, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 983, 940, 658 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 334, 983, 940, 658. So, keep reading to learn more.
Given numbers are 334,983,940,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,983,940,658 is 1080179380.
Find LCM of 334,983,940,658 with Prime Factorization
| 2 | 334, 983, 940, 658 |
| 47 | 167, 983, 470, 329 |
| 167, 983, 10, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 167 x 983 x 10 x 7 = 1080179380
Therefore, the lowest common multiple of 334,983,940,658 is 1080179380.
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.
334 x 983 x 940 x 658 = 203073723440
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.
334 : 1, 2, 167, 334
983 : 1, 983
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,983,940,658, is 1.
Now, the common factors can be found like this.
334:2x 167
983:983
940:2x 2x 5x 47
658:2x 7x 47
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 47 = 188
Therefore, the value for common factors is 188.
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 = 203073723440/(1x188)
LCM = 203073723440/188
LCM = 1080179380
Thus, we can understand that the LCM of 334,983,940,658 is 1080179380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 334, 983, 940, 658
1. What is the LCM of 334, 983, 940, 658?
Answer: LCM of 334, 983, 940, 658 is 1080179380.
2. How to calculate the LCM of 334, 983, 940, 658?
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 334, 983, 940, 658.
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}.