LCM of 118, 893, 846, 964, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 893, 846, 964, 975 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 118, 893, 846, 964, 975. So, keep reading to learn more.
Given numbers are 118,893,846,964,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,893,846,964,975 is 148561533900.
Find LCM of 118,893,846,964,975 with Prime Factorization
| 2 | 118, 893, 846, 964, 975 |
| 3 | 59, 893, 423, 482, 975 |
| 47 | 59, 893, 141, 482, 325 |
| 59, 19, 3, 482, 325 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 59 x 19 x 3 x 482 x 325 = 148561533900
Therefore, the lowest common multiple of 118,893,846,964,975 is 148561533900.
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.
118 x 893 x 846 x 964 x 975 = 83788705119600
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.
118 : 1, 2, 59, 118
893 : 1, 19, 47, 893
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
964 : 1, 2, 4, 241, 482, 964
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,893,846,964,975, is 1.
Now, the common factors can be found like this.
118:2x 59
893:19x 47
846:2x 3x 3x 47
964:2x 2x 241
975:3x 5x 5x 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 3x 47 = 564
Therefore, the value for common factors is 564.
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 = 83788705119600/(1x564)
LCM = 83788705119600/564
LCM = 148561533900
Thus, we can understand that the LCM of 118,893,846,964,975 is 148561533900.
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FAQs on LCM of 118, 893, 846, 964, 975
1. What is the LCM of 118, 893, 846, 964, 975?
Answer: LCM of 118, 893, 846, 964, 975 is 148561533900.
2. How to calculate the LCM of 118, 893, 846, 964, 975?
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 118, 893, 846, 964, 975.
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}.