Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of LCD Calculator to determine the Least Common Denominator of 77, 101, 869 i.e. 614383 smallest integer divisible by all numbers.
LCD of 77, 101, 869 is 614383
LCD(77, 101, 869) = 614383
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 77, 101, 869 is 614383
LCD(77, 101, 869) = 614383
Arrange the Inputs 77,101,869 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.
11 | 77, 101, 869 |
7, 101, 79 |
As all the numbers left in the last row are co primes you need not do the common division process further.
To obtain the Least Common Denominator, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 11 x 7 x 101 x 79 = 614383
Therefore, LCD of 77,101,869 is 614383
Step1:
Let's calculate the LCD of first two numbers
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(77, 101) = 1
LCD(77, 101) = ( 77 x 101 ) / 1
LCD(77, 101) = 7777 / 1
LCD(77, 101) = 7777
Step2:
Here we consider the LCD from the above i.e. 7777 as first number and the next as 869
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(7777, 869) = 11
LCD(7777, 869) = ( 7777 x 869 ) / 11
LCD(7777, 869) = 6758213 / 11
LCD(7777, 869) = 614383
LCD of 77,101,869 is 614383
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 77, 101, 869?
Answer: LCD of 77, 101, 869 is 614383.
2. How to find LCD of 77, 101, 869 on a calculator?
Answer: You can find LCD of 77, 101, 869 by simply giving the inputs in the input field and clicking on the Calculator button next to it to get the concerned Least Common Denominator.
3. How to Find the LCD of 77, 101, 869?
Least Common Denominator of 77, 101, 869.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCD(77, 101, 869) = 614383.