LCM of 776, 715, 735, 921, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 715, 735, 921, 567 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 776, 715, 735, 921, 567. So, keep reading to learn more.
Given numbers are 776,715,735,921,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,715,735,921,567 is 676063107720.
Find LCM of 776,715,735,921,567 with Prime Factorization
| 3 | 776, 715, 735, 921, 567 |
| 5 | 776, 715, 245, 307, 189 |
| 7 | 776, 143, 49, 307, 189 |
| 776, 143, 7, 307, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 776 x 143 x 7 x 307 x 27 = 676063107720
Therefore, the lowest common multiple of 776,715,735,921,567 is 676063107720.
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.
776 x 715 x 735 x 921 x 567 = 212959878931800
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
715 : 1, 5, 11, 13, 55, 65, 143, 715
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
921 : 1, 3, 307, 921
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,715,735,921,567, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
715:5x 11x 13
735:3x 5x 7x 7
921:3x 307
567:3x 3x 3x 3x 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 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 212959878931800/(1x315)
LCM = 212959878931800/315
LCM = 676063107720
Thus, we can understand that the LCM of 776,715,735,921,567 is 676063107720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 776, 715, 735, 921, 567
1. What is the LCM of 776, 715, 735, 921, 567?
Answer: LCM of 776, 715, 735, 921, 567 is 676063107720.
2. How to calculate the LCM of 776, 715, 735, 921, 567?
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 776, 715, 735, 921, 567.
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}.