Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 1749, 1166 i.e. 3498 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1749, 1166 is 3498.
LCM(1749, 1166) = 3498
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
11 | 1749, 1166 |
53 | 159, 106 |
3, 2 |
∴ So the LCM of the given numbers is 11 x 53 x 3 x 2 = 3498
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 1749,1166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1749,1166) = 583
common factors(in case of two or more numbers have common factors) = 1
GCF(1749,1166) x common factors =583 x 1 = 583
LCM(1749,1166) = ( 1749 × 1166 ) / 583
LCM(1749,1166) = 2039334 / 583
LCM(1749,1166) = 3498
∴ Least Common Multiple of 1749,1166 is 3498
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1749, 1166?
Answer: LCM of 1749, 1166 is 3498.
2. What are the Factors of 3498?
Answer: Factors of 3498 are . There are integers that are factors of 3498
3. How to Find the LCM of 1749, 1166 ?
Least Common Multiple of 1749, 1166.
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 LCM(1749, 1166) = 2 x 3 x 11 x 53 = 3498.