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 41, 78, 65, 100 i.e. 159900 smallest integer divisible by all numbers.
Least common multiple (LCM) of 41, 78, 65, 100 is 159900.
LCM(41, 78, 65, 100) = 159900
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 41, 78, 65, 100 |
5 | 41, 39, 65, 50 |
13 | 41, 39, 13, 10 |
41, 3, 1, 10 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 41 x 3 x 1 x 10 = 159900
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 41,78,65,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,78,65,100) = 1
common factors(in case of two or more numbers have common factors) = 130
GCF(41,78,65,100) x common factors =1 x 130 = 130
LCM(41,78,65,100) = ( 41 × 78 × 65 × 100 ) / 130
LCM(41,78,65,100) = 20787000 / 130
LCM(41,78,65,100) = 159900
∴ Least Common Multiple of 41,78,65,100 is 159900
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 41, 78, 65, 100?
Answer: LCM of 41, 78, 65, 100 is 159900.
2. What are the Factors of 159900?
Answer: Factors of 159900 are . There are integers that are factors of 159900
3. How to Find the LCM of 41, 78, 65, 100 ?
Least Common Multiple of 41, 78, 65, 100.
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(41, 78, 65, 100) = 2 x 2 x 3 x 5 x 5 x 13 x 41 = 159900.