LCM of 497, 418, 258, 781, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 418, 258, 781, 572 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 497, 418, 258, 781, 572. So, keep reading to learn more.
Given numbers are 497,418,258,781,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,418,258,781,572 is 696780084.
Find LCM of 497,418,258,781,572 with Prime Factorization
| 2 | 497, 418, 258, 781, 572 |
| 11 | 497, 209, 129, 781, 286 |
| 71 | 497, 19, 129, 71, 26 |
| 7, 19, 129, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 71 x 7 x 19 x 129 x 1 x 26 = 696780084
Therefore, the lowest common multiple of 497,418,258,781,572 is 696780084.
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.
497 x 418 x 258 x 781 x 572 = 23944150806576
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.
497 : 1, 7, 71, 497
418 : 1, 2, 11, 19, 22, 38, 209, 418
258 : 1, 2, 3, 6, 43, 86, 129, 258
781 : 1, 11, 71, 781
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,418,258,781,572, is 1.
Now, the common factors can be found like this.
497:7x 71
418:2x 11x 19
258:2x 3x 43
781:11x 71
572:2x 2x 11x 13
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 11x 11x 71 = 34364
Therefore, the value for common factors is 34364.
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 = 23944150806576/(1x34364)
LCM = 23944150806576/34364
LCM = 696780084
Thus, we can understand that the LCM of 497,418,258,781,572 is 696780084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 497, 418, 258, 781, 572
1. What is the LCM of 497, 418, 258, 781, 572?
Answer: LCM of 497, 418, 258, 781, 572 is 696780084.
2. How to calculate the LCM of 497, 418, 258, 781, 572?
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 497, 418, 258, 781, 572.
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}.