LCM of 467, 630, 907, 135, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 630, 907, 135, 934 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, 907, 135, 934. So, keep reading to learn more.
Given numbers are 467,630,907,135,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,630,907,135,934 is 800545410.
Find LCM of 467,630,907,135,934 with Prime Factorization
| 2 | 467, 630, 907, 135, 934 |
| 3 | 467, 315, 907, 135, 467 |
| 3 | 467, 105, 907, 45, 467 |
| 5 | 467, 35, 907, 15, 467 |
| 467 | 467, 7, 907, 3, 467 |
| 1, 7, 907, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 467 x 1 x 7 x 907 x 3 x 1 = 800545410
Therefore, the lowest common multiple of 467,630,907,135,934 is 800545410.
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 907 x 135 x 934 = 33646923582300
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
907 : 1, 907
135 : 1, 3, 5, 9, 15, 27, 45, 135
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,630,907,135,934, is 1.
Now, the common factors can be found like this.
467:467
630:2x 3x 3x 5x 7
907:907
135:3x 3x 3x 5
934:2x 467
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 467 = 42030
Therefore, the value for common factors is 42030.
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 = 33646923582300/(1x42030)
LCM = 33646923582300/42030
LCM = 800545410
Thus, we can understand that the LCM of 467,630,907,135,934 is 800545410.
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FAQs on LCM of 467, 630, 907, 135, 934
1. What is the LCM of 467, 630, 907, 135, 934?
Answer: LCM of 467, 630, 907, 135, 934 is 800545410.
2. How to calculate the LCM of 467, 630, 907, 135, 934?
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, 907, 135, 934.
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}.