LCM of 921, 869, 757, 705, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 869, 757, 705, 785 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 921, 869, 757, 705, 785. So, keep reading to learn more.
Given numbers are 921,869,757,705,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,869,757,705,785 is 22353359400735.
Find LCM of 921,869,757,705,785 with Prime Factorization
| 3 | 921, 869, 757, 705, 785 |
| 5 | 307, 869, 757, 235, 785 |
| 307, 869, 757, 47, 157 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 307 x 869 x 757 x 47 x 157 = 22353359400735
Therefore, the lowest common multiple of 921,869,757,705,785 is 22353359400735.
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.
921 x 869 x 757 x 705 x 785 = 335300391011025
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.
921 : 1, 3, 307, 921
869 : 1, 11, 79, 869
757 : 1, 757
705 : 1, 3, 5, 15, 47, 141, 235, 705
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,869,757,705,785, is 1.
Now, the common factors can be found like this.
921:3x 307
869:11x 79
757:757
705:3x 5x 47
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 335300391011025/(1x15)
LCM = 335300391011025/15
LCM = 22353359400735
Thus, we can understand that the LCM of 921,869,757,705,785 is 22353359400735.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 921, 869, 757, 705, 785
1. What is the LCM of 921, 869, 757, 705, 785?
Answer: LCM of 921, 869, 757, 705, 785 is 22353359400735.
2. How to calculate the LCM of 921, 869, 757, 705, 785?
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 921, 869, 757, 705, 785.
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}.