LCM of 348, 892, 722, 969, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 892, 722, 969, 697 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 348, 892, 722, 969, 697. So, keep reading to learn more.
Given numbers are 348,892,722,969,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,892,722,969,697 is 19526485668.
Find LCM of 348,892,722,969,697 with Prime Factorization
| 2 | 348, 892, 722, 969, 697 |
| 2 | 174, 446, 361, 969, 697 |
| 3 | 87, 223, 361, 969, 697 |
| 17 | 29, 223, 361, 323, 697 |
| 19 | 29, 223, 361, 19, 41 |
| 29, 223, 1, 19, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 29 x 223 x 1 x 19 x 41 = 19526485668
Therefore, the lowest common multiple of 348,892,722,969,697 is 19526485668.
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.
348 x 892 x 722 x 969 x 697 = 151369316898336
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
892 : 1, 2, 4, 223, 446, 892
722 : 1, 2, 19, 38, 361, 722
969 : 1, 3, 17, 19, 51, 57, 323, 969
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,892,722,969,697, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
892:2x 2x 223
722:2x 19x 19
969:3x 17x 19
697:17x 41
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 17x 19 = 7752
Therefore, the value for common factors is 7752.
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 = 151369316898336/(1x7752)
LCM = 151369316898336/7752
LCM = 19526485668
Thus, we can understand that the LCM of 348,892,722,969,697 is 19526485668.
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FAQs on LCM of 348, 892, 722, 969, 697
1. What is the LCM of 348, 892, 722, 969, 697?
Answer: LCM of 348, 892, 722, 969, 697 is 19526485668.
2. How to calculate the LCM of 348, 892, 722, 969, 697?
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 348, 892, 722, 969, 697.
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}.