LCM of 869, 750, 769, 553, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 750, 769, 553, 945 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 869, 750, 769, 553, 945. So, keep reading to learn more.
Given numbers are 869,750,769,553,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,750,769,553,945 is 31575332250.
Find LCM of 869,750,769,553,945 with Prime Factorization
| 3 | 869, 750, 769, 553, 945 |
| 5 | 869, 250, 769, 553, 315 |
| 7 | 869, 50, 769, 553, 63 |
| 79 | 869, 50, 769, 79, 9 |
| 11, 50, 769, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 79 x 11 x 50 x 769 x 1 x 9 = 31575332250
Therefore, the lowest common multiple of 869,750,769,553,945 is 31575332250.
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.
869 x 750 x 769 x 553 x 945 = 261917381013750
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.
869 : 1, 11, 79, 869
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
769 : 1, 769
553 : 1, 7, 79, 553
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,750,769,553,945, is 1.
Now, the common factors can be found like this.
869:11x 79
750:2x 3x 5x 5x 5
769:769
553:7x 79
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 79 = 8295
Therefore, the value for common factors is 8295.
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 = 261917381013750/(1x8295)
LCM = 261917381013750/8295
LCM = 31575332250
Thus, we can understand that the LCM of 869,750,769,553,945 is 31575332250.
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FAQs on LCM of 869, 750, 769, 553, 945
1. What is the LCM of 869, 750, 769, 553, 945?
Answer: LCM of 869, 750, 769, 553, 945 is 31575332250.
2. How to calculate the LCM of 869, 750, 769, 553, 945?
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 869, 750, 769, 553, 945.
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}.