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 777, 768, 74 i.e. 198912 smallest integer divisible by all numbers.
Least common multiple (LCM) of 777, 768, 74 is 198912.
LCM(777, 768, 74) = 198912
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 777, 768, 74 |
3 | 777, 384, 37 |
37 | 259, 128, 37 |
7, 128, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 7 x 128 x 1 = 198912
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 777,768,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,768,74) = 1
common factors(in case of two or more numbers have common factors) = 222
GCF(777,768,74) x common factors =1 x 222 = 222
LCM(777,768,74) = ( 777 × 768 × 74 ) / 222
LCM(777,768,74) = 44158464 / 222
LCM(777,768,74) = 198912
∴ Least Common Multiple of 777,768,74 is 198912
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 777, 768, 74?
Answer: LCM of 777, 768, 74 is 198912.
2. What are the Factors of 198912?
Answer: Factors of 198912 are . There are integers that are factors of 198912
3. How to Find the LCM of 777, 768, 74 ?
Least Common Multiple of 777, 768, 74.
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(777, 768, 74) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 37 = 198912.