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 262, 189, 452, 420, 512 i.e. 7162283520 smallest integer divisible by all numbers.
Least common multiple (LCM) of 262, 189, 452, 420, 512 is 7162283520.
LCM(262, 189, 452, 420, 512) = 7162283520
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 262, 189, 452, 420, 512 |
2 | 131, 189, 226, 210, 256 |
3 | 131, 189, 113, 105, 128 |
7 | 131, 63, 113, 35, 128 |
131, 9, 113, 5, 128 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 131 x 9 x 113 x 5 x 128 = 7162283520
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 262,189,452,420,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,189,452,420,512) = 1
common factors(in case of two or more numbers have common factors) = 672
GCF(262,189,452,420,512) x common factors =1 x 672 = 672
LCM(262,189,452,420,512) = ( 262 × 189 × 452 × 420 × 512 ) / 672
LCM(262,189,452,420,512) = 4813054525440 / 672
LCM(262,189,452,420,512) = 7162283520
∴ Least Common Multiple of 262,189,452,420,512 is 7162283520
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 262, 189, 452, 420, 512?
Answer: LCM of 262, 189, 452, 420, 512 is 7162283520.
2. What are the Factors of 7162283520?
Answer: Factors of 7162283520 are . There are integers that are factors of 7162283520
3. How to Find the LCM of 262, 189, 452, 420, 512 ?
Least Common Multiple of 262, 189, 452, 420, 512.
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(262, 189, 452, 420, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 113 x 131 = 7162283520.