LCM of 775, 382, 572, 290, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 382, 572, 290, 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 775, 382, 572, 290, 975. So, keep reading to learn more.
Given numbers are 775,382,572,290,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,382,572,290,975 is 7366316100.
Find LCM of 775,382,572,290,975 with Prime Factorization
| 2 | 775, 382, 572, 290, 975 |
| 5 | 775, 191, 286, 145, 975 |
| 5 | 155, 191, 286, 29, 195 |
| 13 | 31, 191, 286, 29, 39 |
| 31, 191, 22, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 13 x 31 x 191 x 22 x 29 x 3 = 7366316100
Therefore, the lowest common multiple of 775,382,572,290,975 is 7366316100.
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.
775 x 382 x 572 x 290 x 975 = 47881054650000
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.
775 : 1, 5, 25, 31, 155, 775
382 : 1, 2, 191, 382
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
290 : 1, 2, 5, 10, 29, 58, 145, 290
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 775,382,572,290,975, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
382:2x 191
572:2x 2x 11x 13
290:2x 5x 29
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 5x 5x 5x 13 = 6500
Therefore, the value for common factors is 6500.
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 = 47881054650000/(1x6500)
LCM = 47881054650000/6500
LCM = 7366316100
Thus, we can understand that the LCM of 775,382,572,290,975 is 7366316100.
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FAQs on LCM of 775, 382, 572, 290, 975
1. What is the LCM of 775, 382, 572, 290, 975?
Answer: LCM of 775, 382, 572, 290, 975 is 7366316100.
2. How to calculate the LCM of 775, 382, 572, 290, 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 775, 382, 572, 290, 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}.