LCM of 965, 609, 897, 624, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 609, 897, 624, 188 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 965, 609, 897, 624, 188. So, keep reading to learn more.
Given numbers are 965,609,897,624,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,609,897,624,188 is 132139796880.
Find LCM of 965,609,897,624,188 with Prime Factorization
| 2 | 965, 609, 897, 624, 188 |
| 2 | 965, 609, 897, 312, 94 |
| 3 | 965, 609, 897, 156, 47 |
| 13 | 965, 203, 299, 52, 47 |
| 965, 203, 23, 4, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 965 x 203 x 23 x 4 x 47 = 132139796880
Therefore, the lowest common multiple of 965,609,897,624,188 is 132139796880.
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.
965 x 609 x 897 x 624 x 188 = 61841424939840
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.
965 : 1, 5, 193, 965
609 : 1, 3, 7, 21, 29, 87, 203, 609
897 : 1, 3, 13, 23, 39, 69, 299, 897
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,609,897,624,188, is 1.
Now, the common factors can be found like this.
965:5x 193
609:3x 7x 29
897:3x 13x 23
624:2x 2x 2x 2x 3x 13
188:2x 2x 47
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 13 = 468
Therefore, the value for common factors is 468.
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 = 61841424939840/(1x468)
LCM = 61841424939840/468
LCM = 132139796880
Thus, we can understand that the LCM of 965,609,897,624,188 is 132139796880.
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FAQs on LCM of 965, 609, 897, 624, 188
1. What is the LCM of 965, 609, 897, 624, 188?
Answer: LCM of 965, 609, 897, 624, 188 is 132139796880.
2. How to calculate the LCM of 965, 609, 897, 624, 188?
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 965, 609, 897, 624, 188.
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}.