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 235, 300, 306, 366, 677 i.e. 29696672700 smallest integer divisible by all numbers.
Least common multiple (LCM) of 235, 300, 306, 366, 677 is 29696672700.
LCM(235, 300, 306, 366, 677) = 29696672700
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 235, 300, 306, 366, 677 |
3 | 235, 150, 153, 183, 677 |
5 | 235, 50, 51, 61, 677 |
47, 10, 51, 61, 677 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 10 x 51 x 61 x 677 = 29696672700
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 235,300,306,366,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,300,306,366,677) = 1
common factors(in case of two or more numbers have common factors) = 180
GCF(235,300,306,366,677) x common factors =1 x 180 = 180
LCM(235,300,306,366,677) = ( 235 × 300 × 306 × 366 × 677 ) / 180
LCM(235,300,306,366,677) = 5345401086000 / 180
LCM(235,300,306,366,677) = 29696672700
∴ Least Common Multiple of 235,300,306,366,677 is 29696672700
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 235, 300, 306, 366, 677?
Answer: LCM of 235, 300, 306, 366, 677 is 29696672700.
2. What are the Factors of 29696672700?
Answer: Factors of 29696672700 are . There are integers that are factors of 29696672700
3. How to Find the LCM of 235, 300, 306, 366, 677 ?
Least Common Multiple of 235, 300, 306, 366, 677.
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(235, 300, 306, 366, 677) = 2 x 2 x 3 x 3 x 5 x 5 x 17 x 47 x 61 x 677 = 29696672700.