LCM of 943, 930, 145, 321, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 930, 145, 321, 260 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 943, 930, 145, 321, 260. So, keep reading to learn more.
Given numbers are 943,930,145,321,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,930,145,321,260 is 70753799220.
Find LCM of 943,930,145,321,260 with Prime Factorization
| 2 | 943, 930, 145, 321, 260 |
| 3 | 943, 465, 145, 321, 130 |
| 5 | 943, 155, 145, 107, 130 |
| 943, 31, 29, 107, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 943 x 31 x 29 x 107 x 26 = 70753799220
Therefore, the lowest common multiple of 943,930,145,321,260 is 70753799220.
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.
943 x 930 x 145 x 321 x 260 = 10613069883000
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.
943 : 1, 23, 41, 943
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
145 : 1, 5, 29, 145
321 : 1, 3, 107, 321
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,930,145,321,260, is 1.
Now, the common factors can be found like this.
943:23x 41
930:2x 3x 5x 31
145:5x 29
321:3x 107
260:2x 2x 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 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 10613069883000/(1x150)
LCM = 10613069883000/150
LCM = 70753799220
Thus, we can understand that the LCM of 943,930,145,321,260 is 70753799220.
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FAQs on LCM of 943, 930, 145, 321, 260
1. What is the LCM of 943, 930, 145, 321, 260?
Answer: LCM of 943, 930, 145, 321, 260 is 70753799220.
2. How to calculate the LCM of 943, 930, 145, 321, 260?
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 943, 930, 145, 321, 260.
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}.