Find the LCM of 467, 630, 565, 846, 138 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 467, 630, 565, 846, 138. So, keep reading to learn more.
Given numbers are 467,630,565,846,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,630,565,846,138 is 35938634130.
Find LCM of 467,630,565,846,138 with Prime Factorization
2 | 467, 630, 565, 846, 138 |
3 | 467, 315, 565, 423, 69 |
3 | 467, 105, 565, 141, 23 |
5 | 467, 35, 565, 47, 23 |
467, 7, 113, 47, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 467 x 7 x 113 x 47 x 23 = 35938634130
Therefore, the lowest common multiple of 467,630,565,846,138 is 35938634130.
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.
467 x 630 x 565 x 846 x 138 = 19406862430200
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.
467 : 1, 467
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
565 : 1, 5, 113, 565
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,630,565,846,138, is 1.
Now, the common factors can be found like this.
467:467
630:2x 3x 3x 5x 7
565:5x 113
846:2x 3x 3x 47
138:2x 3x 23
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 19406862430200/(1x540)
LCM = 19406862430200/540
LCM = 35938634130
Thus, we can understand that the LCM of 467,630,565,846,138 is 35938634130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 467, 630, 565, 846, 138?
Answer: LCM of 467, 630, 565, 846, 138 is 35938634130.
2. How to calculate the LCM of 467, 630, 565, 846, 138?
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 467, 630, 565, 846, 138.
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}.