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 488, 742 i.e. 181048 smallest integer divisible by all numbers.
Least common multiple (LCM) of 488, 742 is 181048.
LCM(488, 742) = 181048
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 488, 742 |
244, 371 |
∴ So the LCM of the given numbers is 2 x 244 x 371 = 181048
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 488,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(488,742) x common factors =2 x 1 = 2
LCM(488,742) = ( 488 × 742 ) / 2
LCM(488,742) = 362096 / 2
LCM(488,742) = 181048
∴ Least Common Multiple of 488,742 is 181048
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 488, 742?
Answer: LCM of 488, 742 is 181048.
2. What are the Factors of 181048?
Answer: Factors of 181048 are . There are integers that are factors of 181048
3. How to Find the LCM of 488, 742 ?
Least Common Multiple of 488, 742.
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(488, 742) = 2 x 2 x 2 x 7 x 53 x 61 = 181048.