LCM of 658, 508, 877, 612, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 508, 877, 612, 894 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 658, 508, 877, 612, 894. So, keep reading to learn more.
Given numbers are 658,508,877,612,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,508,877,612,894 is 3341464894908.
Find LCM of 658,508,877,612,894 with Prime Factorization
| 2 | 658, 508, 877, 612, 894 |
| 2 | 329, 254, 877, 306, 447 |
| 3 | 329, 127, 877, 153, 447 |
| 329, 127, 877, 51, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 329 x 127 x 877 x 51 x 149 = 3341464894908
Therefore, the lowest common multiple of 658,508,877,612,894 is 3341464894908.
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.
658 x 508 x 877 x 612 x 894 = 160390314955584
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
508 : 1, 2, 4, 127, 254, 508
877 : 1, 877
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,508,877,612,894, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
508:2x 2x 127
877:877
612:2x 2x 3x 3x 17
894:2x 3x 149
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 3 = 48
Therefore, the value for common factors is 48.
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 = 160390314955584/(1x48)
LCM = 160390314955584/48
LCM = 3341464894908
Thus, we can understand that the LCM of 658,508,877,612,894 is 3341464894908.
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FAQs on LCM of 658, 508, 877, 612, 894
1. What is the LCM of 658, 508, 877, 612, 894?
Answer: LCM of 658, 508, 877, 612, 894 is 3341464894908.
2. How to calculate the LCM of 658, 508, 877, 612, 894?
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 658, 508, 877, 612, 894.
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}.