Find the LCM of 676, 159, 375, 371 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, 159, 375, 371. So, keep reading to learn more.
Given numbers are 676,159,375,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,159,375,371 is 94048500.
Find LCM of 676,159,375,371 with Prime Factorization
3 | 676, 159, 375, 371 |
53 | 676, 53, 125, 371 |
676, 1, 125, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 53 x 676 x 1 x 125 x 7 = 94048500
Therefore, the lowest common multiple of 676,159,375,371 is 94048500.
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 159 x 375 x 371 = 14953711500
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
159 : 1, 3, 53, 159
375 : 1, 3, 5, 15, 25, 75, 125, 375
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,159,375,371, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
159:3x 53
375:3x 5x 5x 5
371:7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 53 = 159
Therefore, the value for common factors is 159.
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 = 14953711500/(1x159)
LCM = 14953711500/159
LCM = 94048500
Thus, we can understand that the LCM of 676,159,375,371 is 94048500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 159, 375, 371?
Answer: LCM of 676, 159, 375, 371 is 94048500.
2. How to calculate the LCM of 676, 159, 375, 371?
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, 159, 375, 371.
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}.