LCM of 869, 495, 535, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 495, 535, 749 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, 495, 535, 749. So, keep reading to learn more.
Given numbers are 869,495,535,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,495,535,749 is 29289645.
Find LCM of 869,495,535,749 with Prime Factorization
| 5 | 869, 495, 535, 749 |
| 11 | 869, 99, 107, 749 |
| 107 | 79, 9, 107, 749 |
| 79, 9, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 107 x 79 x 9 x 1 x 7 = 29289645
Therefore, the lowest common multiple of 869,495,535,749 is 29289645.
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 495 x 535 x 749 = 172369560825
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
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
535 : 1, 5, 107, 535
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,495,535,749, is 1.
Now, the common factors can be found like this.
869:11x 79
495:3x 3x 5x 11
535:5x 107
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 107 = 5885
Therefore, the value for common factors is 5885.
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 = 172369560825/(1x5885)
LCM = 172369560825/5885
LCM = 29289645
Thus, we can understand that the LCM of 869,495,535,749 is 29289645.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 869, 495, 535, 749
1. What is the LCM of 869, 495, 535, 749?
Answer: LCM of 869, 495, 535, 749 is 29289645.
2. How to calculate the LCM of 869, 495, 535, 749?
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, 495, 535, 749.
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}.