LCM of 668, 343, 735, 794, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 343, 735, 794, 297 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 668, 343, 735, 794, 297. So, keep reading to learn more.
Given numbers are 668,343,735,794,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,343,735,794,297 is 135078908580.
Find LCM of 668,343,735,794,297 with Prime Factorization
| 2 | 668, 343, 735, 794, 297 |
| 3 | 334, 343, 735, 397, 297 |
| 7 | 334, 343, 245, 397, 99 |
| 7 | 334, 49, 35, 397, 99 |
| 334, 7, 5, 397, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 334 x 7 x 5 x 397 x 99 = 135078908580
Therefore, the lowest common multiple of 668,343,735,794,297 is 135078908580.
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.
668 x 343 x 735 x 794 x 297 = 39713199122520
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.
668 : 1, 2, 4, 167, 334, 668
343 : 1, 7, 49, 343
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
794 : 1, 2, 397, 794
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,343,735,794,297, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
343:7x 7x 7
735:3x 5x 7x 7
794:2x 397
297:3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 39713199122520/(1x294)
LCM = 39713199122520/294
LCM = 135078908580
Thus, we can understand that the LCM of 668,343,735,794,297 is 135078908580.
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FAQs on LCM of 668, 343, 735, 794, 297
1. What is the LCM of 668, 343, 735, 794, 297?
Answer: LCM of 668, 343, 735, 794, 297 is 135078908580.
2. How to calculate the LCM of 668, 343, 735, 794, 297?
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 668, 343, 735, 794, 297.
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}.