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 764, 382, 912 i.e. 174192 smallest integer divisible by all numbers.
Least common multiple (LCM) of 764, 382, 912 is 174192.
LCM(764, 382, 912) = 174192
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 764, 382, 912 |
2 | 382, 191, 456 |
191 | 191, 191, 228 |
1, 1, 228 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 1 x 1 x 228 = 174192
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 764,382,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,382,912) = 2
common factors(in case of two or more numbers have common factors) = 764
GCF(764,382,912) x common factors =2 x 764 = 1528
LCM(764,382,912) = ( 764 × 382 × 912 ) / 1528
LCM(764,382,912) = 266165376 / 1528
LCM(764,382,912) = 174192
∴ Least Common Multiple of 764,382,912 is 174192
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 382, 912?
Answer: LCM of 764, 382, 912 is 174192.
2. What are the Factors of 174192?
Answer: Factors of 174192 are . There are integers that are factors of 174192
3. How to Find the LCM of 764, 382, 912 ?
Least Common Multiple of 764, 382, 912.
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(764, 382, 912) = 2 x 2 x 2 x 2 x 3 x 19 x 191 = 174192.