LCM of 342, 508, 658, 780, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 508, 658, 780, 868 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 342, 508, 658, 780, 868. So, keep reading to learn more.
Given numbers are 342,508,658,780,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,508,658,780,868 is 57587837580.
Find LCM of 342,508,658,780,868 with Prime Factorization
| 2 | 342, 508, 658, 780, 868 |
| 2 | 171, 254, 329, 390, 434 |
| 3 | 171, 127, 329, 195, 217 |
| 7 | 57, 127, 329, 65, 217 |
| 57, 127, 47, 65, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 57 x 127 x 47 x 65 x 31 = 57587837580
Therefore, the lowest common multiple of 342,508,658,780,868 is 57587837580.
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.
342 x 508 x 658 x 780 x 868 = 77398053707520
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
508 : 1, 2, 4, 127, 254, 508
658 : 1, 2, 7, 14, 47, 94, 329, 658
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,508,658,780,868, is 2.
Now, the common factors can be found like this.
342:2x 3x 3x 19
508:2x 2x 127
658:2x 7x 47
780:2x 2x 3x 5x 13
868:2x 2x 7x 31
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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 77398053707520/(2x672)
LCM = 77398053707520/1344
LCM = 57587837580
Thus, we can understand that the LCM of 342,508,658,780,868 is 57587837580.
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FAQs on LCM of 342, 508, 658, 780, 868
1. What is the LCM of 342, 508, 658, 780, 868?
Answer: LCM of 342, 508, 658, 780, 868 is 57587837580.
2. How to calculate the LCM of 342, 508, 658, 780, 868?
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 342, 508, 658, 780, 868.
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}.