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 734, 280, 264, 240 i.e. 6782160 smallest integer divisible by all numbers.
Least common multiple (LCM) of 734, 280, 264, 240 is 6782160.
LCM(734, 280, 264, 240) = 6782160
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 734, 280, 264, 240 |
2 | 367, 140, 132, 120 |
2 | 367, 70, 66, 60 |
3 | 367, 35, 33, 30 |
5 | 367, 35, 11, 10 |
367, 7, 11, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 367 x 7 x 11 x 2 = 6782160
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 734,280,264,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,280,264,240) = 2
common factors(in case of two or more numbers have common factors) = 960
GCF(734,280,264,240) x common factors =2 x 960 = 1920
LCM(734,280,264,240) = ( 734 × 280 × 264 × 240 ) / 1920
LCM(734,280,264,240) = 13021747200 / 1920
LCM(734,280,264,240) = 6782160
∴ Least Common Multiple of 734,280,264,240 is 6782160
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 734, 280, 264, 240?
Answer: LCM of 734, 280, 264, 240 is 6782160.
2. What are the Factors of 6782160?
Answer: Factors of 6782160 are . There are integers that are factors of 6782160
3. How to Find the LCM of 734, 280, 264, 240 ?
Least Common Multiple of 734, 280, 264, 240.
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(734, 280, 264, 240) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 367 = 6782160.