LCM of 514, 555, 342, 970, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 555, 342, 970, 974 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 514, 555, 342, 970, 974. So, keep reading to learn more.
Given numbers are 514,555,342,970,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,555,342,970,974 is 768124563210.
Find LCM of 514,555,342,970,974 with Prime Factorization
| 2 | 514, 555, 342, 970, 974 |
| 3 | 257, 555, 171, 485, 487 |
| 5 | 257, 185, 57, 485, 487 |
| 257, 37, 57, 97, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 257 x 37 x 57 x 97 x 487 = 768124563210
Therefore, the lowest common multiple of 514,555,342,970,974 is 768124563210.
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.
514 x 555 x 342 x 970 x 974 = 92174947585200
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.
514 : 1, 2, 257, 514
555 : 1, 3, 5, 15, 37, 111, 185, 555
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
970 : 1, 2, 5, 10, 97, 194, 485, 970
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,555,342,970,974, is 1.
Now, the common factors can be found like this.
514:2x 257
555:3x 5x 37
342:2x 3x 3x 19
970:2x 5x 97
974:2x 487
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 92174947585200/(1x120)
LCM = 92174947585200/120
LCM = 768124563210
Thus, we can understand that the LCM of 514,555,342,970,974 is 768124563210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 555, 342, 970, 974
1. What is the LCM of 514, 555, 342, 970, 974?
Answer: LCM of 514, 555, 342, 970, 974 is 768124563210.
2. How to calculate the LCM of 514, 555, 342, 970, 974?
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 514, 555, 342, 970, 974.
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}.