LCM of 692, 892, 346, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 892, 346, 634 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, 892, 346, 634. So, keep reading to learn more.
Given numbers are 692,892,346,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,892,346,634 is 48918172.
Find LCM of 692,892,346,634 with Prime Factorization
| 2 | 692, 892, 346, 634 |
| 2 | 346, 446, 173, 317 |
| 173 | 173, 223, 173, 317 |
| 1, 223, 1, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 173 x 1 x 223 x 1 x 317 = 48918172
Therefore, the lowest common multiple of 692,892,346,634 is 48918172.
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 892 x 346 x 634 = 135405500096
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
892 : 1, 2, 4, 223, 446, 892
346 : 1, 2, 173, 346
634 : 1, 2, 317, 634
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,892,346,634, is 2.
Now, the common factors can be found like this.
692:2x 2x 173
892:2x 2x 223
346:2x 173
634:2x 317
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 173 = 1384
Therefore, the value for common factors is 1384.
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 = 135405500096/(2x1384)
LCM = 135405500096/2768
LCM = 48918172
Thus, we can understand that the LCM of 692,892,346,634 is 48918172.
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FAQs on LCM of 692, 892, 346, 634
1. What is the LCM of 692, 892, 346, 634?
Answer: LCM of 692, 892, 346, 634 is 48918172.
2. How to calculate the LCM of 692, 892, 346, 634?
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, 892, 346, 634.
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}.