LCM of 895, 672, 312, 456, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 895, 672, 312, 456, 630 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 895, 672, 312, 456, 630. So, keep reading to learn more.
Given numbers are 895,672,312,456,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 895,672,312,456,630 is 445667040.
Find LCM of 895,672,312,456,630 with Prime Factorization
| 2 | 895, 672, 312, 456, 630 |
| 2 | 895, 336, 156, 228, 315 |
| 2 | 895, 168, 78, 114, 315 |
| 3 | 895, 84, 39, 57, 315 |
| 5 | 895, 28, 13, 19, 105 |
| 7 | 179, 28, 13, 19, 21 |
| 179, 4, 13, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 179 x 4 x 13 x 19 x 3 = 445667040
Therefore, the lowest common multiple of 895,672,312,456,630 is 445667040.
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.
895 x 672 x 312 x 456 x 630 = 53907885158400
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.
895 : 1, 5, 179, 895
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,672,312,456,630, is 1.
Now, the common factors can be found like this.
895:5x 179
672:2x 2x 2x 2x 2x 3x 7
312:2x 2x 2x 3x 13
456:2x 2x 2x 3x 19
630:2x 3x 3x 5x 7
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 2x 2x 3x 3x 3x 5x 7 = 120960
Therefore, the value for common factors is 120960.
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 = 53907885158400/(1x120960)
LCM = 53907885158400/120960
LCM = 445667040
Thus, we can understand that the LCM of 895,672,312,456,630 is 445667040.
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FAQs on LCM of 895, 672, 312, 456, 630
1. What is the LCM of 895, 672, 312, 456, 630?
Answer: LCM of 895, 672, 312, 456, 630 is 445667040.
2. How to calculate the LCM of 895, 672, 312, 456, 630?
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 895, 672, 312, 456, 630.
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}.