LCM of 676, 755, 507, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 755, 507, 574 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, 755, 507, 574. So, keep reading to learn more.
Given numbers are 676,755,507,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,755,507,574 is 439437180.
Find LCM of 676,755,507,574 with Prime Factorization
| 2 | 676, 755, 507, 574 |
| 13 | 338, 755, 507, 287 |
| 13 | 26, 755, 39, 287 |
| 2, 755, 3, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 2 x 755 x 3 x 287 = 439437180
Therefore, the lowest common multiple of 676,755,507,574 is 439437180.
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 755 x 507 x 574 = 148529766840
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
755 : 1, 5, 151, 755
507 : 1, 3, 13, 39, 169, 507
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,755,507,574, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
755:5x 151
507:3x 13x 13
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 148529766840/(1x338)
LCM = 148529766840/338
LCM = 439437180
Thus, we can understand that the LCM of 676,755,507,574 is 439437180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 755, 507, 574
1. What is the LCM of 676, 755, 507, 574?
Answer: LCM of 676, 755, 507, 574 is 439437180.
2. How to calculate the LCM of 676, 755, 507, 574?
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, 755, 507, 574.
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}.