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 46, 69, 978 i.e. 22494 smallest integer divisible by all numbers.
Least common multiple (LCM) of 46, 69, 978 is 22494.
LCM(46, 69, 978) = 22494
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 46, 69, 978 |
3 | 23, 69, 489 |
23 | 23, 23, 163 |
1, 1, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 1 x 163 = 22494
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 46,69,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,69,978) = 1
common factors(in case of two or more numbers have common factors) = 138
GCF(46,69,978) x common factors =1 x 138 = 138
LCM(46,69,978) = ( 46 × 69 × 978 ) / 138
LCM(46,69,978) = 3104172 / 138
LCM(46,69,978) = 22494
∴ Least Common Multiple of 46,69,978 is 22494
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 46, 69, 978?
Answer: LCM of 46, 69, 978 is 22494.
2. What are the Factors of 22494?
Answer: Factors of 22494 are . There are integers that are factors of 22494
3. How to Find the LCM of 46, 69, 978 ?
Least Common Multiple of 46, 69, 978.
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(46, 69, 978) = 2 x 3 x 23 x 163 = 22494.