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 554, 680, 992, 760, 762 i.e. 169078716960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 554, 680, 992, 760, 762 is 169078716960.
LCM(554, 680, 992, 760, 762) = 169078716960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 554, 680, 992, 760, 762 |
2 | 277, 340, 496, 380, 381 |
2 | 277, 170, 248, 190, 381 |
5 | 277, 85, 124, 95, 381 |
277, 17, 124, 19, 381 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 277 x 17 x 124 x 19 x 381 = 169078716960
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 554,680,992,760,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,680,992,760,762) = 2
common factors(in case of two or more numbers have common factors) = 640
GCF(554,680,992,760,762) x common factors =2 x 640 = 1280
LCM(554,680,992,760,762) = ( 554 × 680 × 992 × 760 × 762 ) / 1280
LCM(554,680,992,760,762) = 216420757708800 / 1280
LCM(554,680,992,760,762) = 169078716960
∴ Least Common Multiple of 554,680,992,760,762 is 169078716960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 554, 680, 992, 760, 762?
Answer: LCM of 554, 680, 992, 760, 762 is 169078716960.
2. What are the Factors of 169078716960?
Answer: Factors of 169078716960 are . There are integers that are factors of 169078716960
3. How to Find the LCM of 554, 680, 992, 760, 762 ?
Least Common Multiple of 554, 680, 992, 760, 762.
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(554, 680, 992, 760, 762) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 19 x 31 x 127 x 277 = 169078716960.