Find the LCM of 572, 692, 377, 346 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 572, 692, 377, 346. So, keep reading to learn more.
Given numbers are 572,692,377,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,692,377,346 is 2869724.
Find LCM of 572,692,377,346 with Prime Factorization
2 | 572, 692, 377, 346 |
2 | 286, 346, 377, 173 |
13 | 143, 173, 377, 173 |
173 | 11, 173, 29, 173 |
11, 1, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 173 x 11 x 1 x 29 x 1 = 2869724
Therefore, the lowest common multiple of 572,692,377,346 is 2869724.
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.
572 x 692 x 377 x 346 = 51632074208
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
692 : 1, 2, 4, 173, 346, 692
377 : 1, 13, 29, 377
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,692,377,346, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
692:2x 2x 173
377:13x 29
346:2x 173
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 13x 173 = 17992
Therefore, the value for common factors is 17992.
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 = 51632074208/(1x17992)
LCM = 51632074208/17992
LCM = 2869724
Thus, we can understand that the LCM of 572,692,377,346 is 2869724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 692, 377, 346?
Answer: LCM of 572, 692, 377, 346 is 2869724.
2. How to calculate the LCM of 572, 692, 377, 346?
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 572, 692, 377, 346.
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}.