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 400, 385, 123, 768 i.e. 60614400 smallest integer divisible by all numbers.
Least common multiple (LCM) of 400, 385, 123, 768 is 60614400.
LCM(400, 385, 123, 768) = 60614400
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 400, 385, 123, 768 |
2 | 200, 385, 123, 384 |
2 | 100, 385, 123, 192 |
2 | 50, 385, 123, 96 |
3 | 25, 385, 123, 48 |
5 | 25, 385, 41, 16 |
5, 77, 41, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 77 x 41 x 16 = 60614400
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 400,385,123,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,385,123,768) = 1
common factors(in case of two or more numbers have common factors) = 240
GCF(400,385,123,768) x common factors =1 x 240 = 240
LCM(400,385,123,768) = ( 400 × 385 × 123 × 768 ) / 240
LCM(400,385,123,768) = 14547456000 / 240
LCM(400,385,123,768) = 60614400
∴ Least Common Multiple of 400,385,123,768 is 60614400
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 400, 385, 123, 768?
Answer: LCM of 400, 385, 123, 768 is 60614400.
2. What are the Factors of 60614400?
Answer: Factors of 60614400 are . There are integers that are factors of 60614400
3. How to Find the LCM of 400, 385, 123, 768 ?
Least Common Multiple of 400, 385, 123, 768.
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(400, 385, 123, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 41 = 60614400.