LCM of 231, 734, 714, 346, 698
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 734, 714, 346, 698 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 231, 734, 714, 346, 698. So, keep reading to learn more.
Given numbers are 231,734,714,346,698
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,734,714,346,698 is 174031751586.
Find LCM of 231,734,714,346,698 with Prime Factorization
| 2 | 231, 734, 714, 346, 698 |
| 3 | 231, 367, 357, 173, 349 |
| 7 | 77, 367, 119, 173, 349 |
| 11, 367, 17, 173, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 367 x 17 x 173 x 349 = 174031751586
Therefore, the lowest common multiple of 231,734,714,346,698 is 174031751586.
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.
231 x 734 x 714 x 346 x 698 = 29237334266448
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
734 : 1, 2, 367, 734
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
346 : 1, 2, 173, 346
698 : 1, 2, 349, 698
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,734,714,346,698, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
734:2x 367
714:2x 3x 7x 17
346:2x 173
698:2x 349
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 7 = 168
Therefore, the value for common factors is 168.
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 = 29237334266448/(1x168)
LCM = 29237334266448/168
LCM = 174031751586
Thus, we can understand that the LCM of 231,734,714,346,698 is 174031751586.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 231, 734, 714, 346, 698
1. What is the LCM of 231, 734, 714, 346, 698?
Answer: LCM of 231, 734, 714, 346, 698 is 174031751586.
2. How to calculate the LCM of 231, 734, 714, 346, 698?
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 231, 734, 714, 346, 698.
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}.