LCM of 975, 572, 759, 621, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 572, 759, 621, 866 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 975, 572, 759, 621, 866. So, keep reading to learn more.
Given numbers are 975,572,759,621,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,572,759,621,866 is 3845169900.
Find LCM of 975,572,759,621,866 with Prime Factorization
| 2 | 975, 572, 759, 621, 866 |
| 3 | 975, 286, 759, 621, 433 |
| 11 | 325, 286, 253, 207, 433 |
| 13 | 325, 26, 23, 207, 433 |
| 23 | 25, 2, 23, 207, 433 |
| 25, 2, 1, 9, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 23 x 25 x 2 x 1 x 9 x 433 = 3845169900
Therefore, the lowest common multiple of 975,572,759,621,866 is 3845169900.
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.
975 x 572 x 759 x 621 x 866 = 227641748419800
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
759 : 1, 3, 11, 23, 33, 69, 253, 759
621 : 1, 3, 9, 23, 27, 69, 207, 621
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,572,759,621,866, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
572:2x 2x 11x 13
759:3x 11x 23
621:3x 3x 3x 23
866:2x 433
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 3x 11x 13x 23 = 59202
Therefore, the value for common factors is 59202.
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 = 227641748419800/(1x59202)
LCM = 227641748419800/59202
LCM = 3845169900
Thus, we can understand that the LCM of 975,572,759,621,866 is 3845169900.
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FAQs on LCM of 975, 572, 759, 621, 866
1. What is the LCM of 975, 572, 759, 621, 866?
Answer: LCM of 975, 572, 759, 621, 866 is 3845169900.
2. How to calculate the LCM of 975, 572, 759, 621, 866?
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 975, 572, 759, 621, 866.
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}.