LCM of 790, 654, 969, 198, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 654, 969, 198, 948 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 790, 654, 969, 198, 948. So, keep reading to learn more.
Given numbers are 790,654,969,198,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,654,969,198,948 is 5507078940.
Find LCM of 790,654,969,198,948 with Prime Factorization
| 2 | 790, 654, 969, 198, 948 |
| 3 | 395, 327, 969, 99, 474 |
| 79 | 395, 109, 323, 33, 158 |
| 5, 109, 323, 33, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 79 x 5 x 109 x 323 x 33 x 2 = 5507078940
Therefore, the lowest common multiple of 790,654,969,198,948 is 5507078940.
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.
790 x 654 x 969 x 198 x 948 = 93972795032160
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
654 : 1, 2, 3, 6, 109, 218, 327, 654
969 : 1, 3, 17, 19, 51, 57, 323, 969
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,654,969,198,948, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
654:2x 3x 109
969:3x 17x 19
198:2x 3x 3x 11
948:2x 2x 3x 79
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 3x 3x 3x 79 = 17064
Therefore, the value for common factors is 17064.
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 = 93972795032160/(1x17064)
LCM = 93972795032160/17064
LCM = 5507078940
Thus, we can understand that the LCM of 790,654,969,198,948 is 5507078940.
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FAQs on LCM of 790, 654, 969, 198, 948
1. What is the LCM of 790, 654, 969, 198, 948?
Answer: LCM of 790, 654, 969, 198, 948 is 5507078940.
2. How to calculate the LCM of 790, 654, 969, 198, 948?
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 790, 654, 969, 198, 948.
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}.