LCM of 964, 453, 856, 636, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 453, 856, 636, 702 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, 453, 856, 636, 702. So, keep reading to learn more.
Given numbers are 964,453,856,636,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,453,856,636,702 is 579496397688.
Find LCM of 964,453,856,636,702 with Prime Factorization
| 2 | 964, 453, 856, 636, 702 |
| 2 | 482, 453, 428, 318, 351 |
| 3 | 241, 453, 214, 159, 351 |
| 241, 151, 214, 53, 117 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 151 x 214 x 53 x 117 = 579496397688
Therefore, the lowest common multiple of 964,453,856,636,702 is 579496397688.
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 453 x 856 x 636 x 702 = 166894962534144
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
453 : 1, 3, 151, 453
856 : 1, 2, 4, 8, 107, 214, 428, 856
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,453,856,636,702, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
453:3x 151
856:2x 2x 2x 107
636:2x 2x 3x 53
702:2x 3x 3x 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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 166894962534144/(1x288)
LCM = 166894962534144/288
LCM = 579496397688
Thus, we can understand that the LCM of 964,453,856,636,702 is 579496397688.
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FAQs on LCM of 964, 453, 856, 636, 702
1. What is the LCM of 964, 453, 856, 636, 702?
Answer: LCM of 964, 453, 856, 636, 702 is 579496397688.
2. How to calculate the LCM of 964, 453, 856, 636, 702?
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, 453, 856, 636, 702.
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}.