LCM of 676, 294, 238, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 294, 238, 407 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 676, 294, 238, 407. So, keep reading to learn more.
Given numbers are 676,294,238,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,294,238,407 is 687554868.
Find LCM of 676,294,238,407 with Prime Factorization
| 2 | 676, 294, 238, 407 |
| 7 | 338, 147, 119, 407 |
| 338, 21, 17, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 338 x 21 x 17 x 407 = 687554868
Therefore, the lowest common multiple of 676,294,238,407 is 687554868.
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.
676 x 294 x 238 x 407 = 19251536304
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
238 : 1, 2, 7, 14, 17, 34, 119, 238
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,294,238,407, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
294:2x 3x 7x 7
238:2x 7x 17
407:11x 37
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 7 = 28
Therefore, the value for common factors is 28.
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 = 19251536304/(1x28)
LCM = 19251536304/28
LCM = 687554868
Thus, we can understand that the LCM of 676,294,238,407 is 687554868.
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FAQs on LCM of 676, 294, 238, 407
1. What is the LCM of 676, 294, 238, 407?
Answer: LCM of 676, 294, 238, 407 is 687554868.
2. How to calculate the LCM of 676, 294, 238, 407?
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 676, 294, 238, 407.
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}.