LCM of 964, 882, 140, 856, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 882, 140, 856, 624 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 964, 882, 140, 856, 624. So, keep reading to learn more.
Given numbers are 964,882,140,856,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,882,140,856,624 is 11826949680.
Find LCM of 964,882,140,856,624 with Prime Factorization
| 2 | 964, 882, 140, 856, 624 |
| 2 | 482, 441, 70, 428, 312 |
| 2 | 241, 441, 35, 214, 156 |
| 3 | 241, 441, 35, 107, 78 |
| 7 | 241, 147, 35, 107, 26 |
| 241, 21, 5, 107, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 241 x 21 x 5 x 107 x 26 = 11826949680
Therefore, the lowest common multiple of 964,882,140,856,624 is 11826949680.
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.
964 x 882 x 140 x 856 x 624 = 63581681479680
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.
964 : 1, 2, 4, 241, 482, 964
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
856 : 1, 2, 4, 8, 107, 214, 428, 856
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,882,140,856,624, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
882:2x 3x 3x 7x 7
140:2x 2x 5x 7
856:2x 2x 2x 107
624:2x 2x 2x 2x 3x 13
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 7 = 2688
Therefore, the value for common factors is 2688.
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 = 63581681479680/(2x2688)
LCM = 63581681479680/5376
LCM = 11826949680
Thus, we can understand that the LCM of 964,882,140,856,624 is 11826949680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 882, 140, 856, 624
1. What is the LCM of 964, 882, 140, 856, 624?
Answer: LCM of 964, 882, 140, 856, 624 is 11826949680.
2. How to calculate the LCM of 964, 882, 140, 856, 624?
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 964, 882, 140, 856, 624.
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}.