LCM of 692, 364, 347, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 364, 347, 182 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 692, 364, 347, 182. So, keep reading to learn more.
Given numbers are 692,364,347,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,364,347,182 is 21851284.
Find LCM of 692,364,347,182 with Prime Factorization
| 2 | 692, 364, 347, 182 |
| 2 | 346, 182, 347, 91 |
| 7 | 173, 91, 347, 91 |
| 13 | 173, 13, 347, 13 |
| 173, 1, 347, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 173 x 1 x 347 x 1 = 21851284
Therefore, the lowest common multiple of 692,364,347,182 is 21851284.
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.
692 x 364 x 347 x 182 = 15907734752
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.
692 : 1, 2, 4, 173, 346, 692
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
347 : 1, 347
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,364,347,182, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
364:2x 2x 7x 13
347:347
182:2x 7x 13
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 7x 13 = 728
Therefore, the value for common factors is 728.
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 = 15907734752/(1x728)
LCM = 15907734752/728
LCM = 21851284
Thus, we can understand that the LCM of 692,364,347,182 is 21851284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 692, 364, 347, 182
1. What is the LCM of 692, 364, 347, 182?
Answer: LCM of 692, 364, 347, 182 is 21851284.
2. How to calculate the LCM of 692, 364, 347, 182?
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 692, 364, 347, 182.
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}.