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 757, 405, 400, 192, 123 i.e. 4022395200 smallest integer divisible by all numbers.
Least common multiple (LCM) of 757, 405, 400, 192, 123 is 4022395200.
LCM(757, 405, 400, 192, 123) = 4022395200
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 757, 405, 400, 192, 123 |
2 | 757, 405, 200, 96, 123 |
2 | 757, 405, 100, 48, 123 |
2 | 757, 405, 50, 24, 123 |
3 | 757, 405, 25, 12, 123 |
5 | 757, 135, 25, 4, 41 |
757, 27, 5, 4, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 757 x 27 x 5 x 4 x 41 = 4022395200
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 757,405,400,192,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,405,400,192,123) = 1
common factors(in case of two or more numbers have common factors) = 720
GCF(757,405,400,192,123) x common factors =1 x 720 = 720
LCM(757,405,400,192,123) = ( 757 × 405 × 400 × 192 × 123 ) / 720
LCM(757,405,400,192,123) = 2896124544000 / 720
LCM(757,405,400,192,123) = 4022395200
∴ Least Common Multiple of 757,405,400,192,123 is 4022395200
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 757, 405, 400, 192, 123?
Answer: LCM of 757, 405, 400, 192, 123 is 4022395200.
2. What are the Factors of 4022395200?
Answer: Factors of 4022395200 are . There are integers that are factors of 4022395200
3. How to Find the LCM of 757, 405, 400, 192, 123 ?
Least Common Multiple of 757, 405, 400, 192, 123.
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(757, 405, 400, 192, 123) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 41 x 757 = 4022395200.