LCM of 292, 320, 967, 528, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 320, 967, 528, 745 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 292, 320, 967, 528, 745. So, keep reading to learn more.
Given numbers are 292,320,967,528,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,320,967,528,745 is 111070703040.
Find LCM of 292,320,967,528,745 with Prime Factorization
| 2 | 292, 320, 967, 528, 745 |
| 2 | 146, 160, 967, 264, 745 |
| 2 | 73, 80, 967, 132, 745 |
| 2 | 73, 40, 967, 66, 745 |
| 5 | 73, 20, 967, 33, 745 |
| 73, 4, 967, 33, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 73 x 4 x 967 x 33 x 149 = 111070703040
Therefore, the lowest common multiple of 292,320,967,528,745 is 111070703040.
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.
292 x 320 x 967 x 528 x 745 = 35542624972800
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.
292 : 1, 2, 4, 73, 146, 292
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
967 : 1, 967
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,320,967,528,745, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
320:2x 2x 2x 2x 2x 2x 5
967:967
528:2x 2x 2x 2x 3x 11
745:5x 149
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 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 35542624972800/(1x320)
LCM = 35542624972800/320
LCM = 111070703040
Thus, we can understand that the LCM of 292,320,967,528,745 is 111070703040.
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FAQs on LCM of 292, 320, 967, 528, 745
1. What is the LCM of 292, 320, 967, 528, 745?
Answer: LCM of 292, 320, 967, 528, 745 is 111070703040.
2. How to calculate the LCM of 292, 320, 967, 528, 745?
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 292, 320, 967, 528, 745.
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}.