LCM of 964, 931, 532, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 931, 532, 893 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, 931, 532, 893. So, keep reading to learn more.
Given numbers are 964,931,532,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,931,532,893 is 42181748.
Find LCM of 964,931,532,893 with Prime Factorization
| 2 | 964, 931, 532, 893 |
| 2 | 482, 931, 266, 893 |
| 7 | 241, 931, 133, 893 |
| 19 | 241, 19, 133, 893 |
| 241, 1, 7, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 241 x 1 x 7 x 47 = 42181748
Therefore, the lowest common multiple of 964,931,532,893 is 42181748.
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 931 x 532 x 893 = 426373108784
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
931 : 1, 7, 19, 49, 133, 931
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,931,532,893, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
931:7x 7x 19
532:2x 2x 7x 19
893:19x 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 7x 19x 19 = 10108
Therefore, the value for common factors is 10108.
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 = 426373108784/(1x10108)
LCM = 426373108784/10108
LCM = 42181748
Thus, we can understand that the LCM of 964,931,532,893 is 42181748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 931, 532, 893
1. What is the LCM of 964, 931, 532, 893?
Answer: LCM of 964, 931, 532, 893 is 42181748.
2. How to calculate the LCM of 964, 931, 532, 893?
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, 931, 532, 893.
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}.