LCM of 692, 420, 476, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 420, 476, 331 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, 420, 476, 331. So, keep reading to learn more.
Given numbers are 692,420,476,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,420,476,331 is 408857820.
Find LCM of 692,420,476,331 with Prime Factorization
| 2 | 692, 420, 476, 331 |
| 2 | 346, 210, 238, 331 |
| 7 | 173, 105, 119, 331 |
| 173, 15, 17, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 173 x 15 x 17 x 331 = 408857820
Therefore, the lowest common multiple of 692,420,476,331 is 408857820.
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 420 x 476 x 331 = 45792075840
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,420,476,331, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
420:2x 2x 3x 5x 7
476:2x 2x 7x 17
331:331
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 45792075840/(1x112)
LCM = 45792075840/112
LCM = 408857820
Thus, we can understand that the LCM of 692,420,476,331 is 408857820.
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FAQs on LCM of 692, 420, 476, 331
1. What is the LCM of 692, 420, 476, 331?
Answer: LCM of 692, 420, 476, 331 is 408857820.
2. How to calculate the LCM of 692, 420, 476, 331?
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, 420, 476, 331.
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}.