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 689, 663, 208, 923 i.e. 39917904 smallest integer divisible by all numbers.
Least common multiple (LCM) of 689, 663, 208, 923 is 39917904.
LCM(689, 663, 208, 923) = 39917904
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
13 | 689, 663, 208, 923 |
53, 51, 16, 71 |
∴ So the LCM of the given numbers is 13 x 53 x 51 x 16 x 71 = 39917904
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 689,663,208,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,663,208,923) = 13
common factors(in case of two or more numbers have common factors) = 169
GCF(689,663,208,923) x common factors =13 x 169 = 2197
LCM(689,663,208,923) = ( 689 × 663 × 208 × 923 ) / 2197
LCM(689,663,208,923) = 87699635088 / 2197
LCM(689,663,208,923) = 39917904
∴ Least Common Multiple of 689,663,208,923 is 39917904
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 663, 208, 923?
Answer: LCM of 689, 663, 208, 923 is 39917904.
2. What are the Factors of 39917904?
Answer: Factors of 39917904 are . There are integers that are factors of 39917904
3. How to Find the LCM of 689, 663, 208, 923 ?
Least Common Multiple of 689, 663, 208, 923.
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(689, 663, 208, 923) = 2 x 2 x 2 x 2 x 3 x 13 x 17 x 53 x 71 = 39917904.