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 535, 749 i.e. 3745 smallest integer divisible by all numbers.
Least common multiple (LCM) of 535, 749 is 3745.
LCM(535, 749) = 3745
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
107 | 535, 749 |
5, 7 |
∴ So the LCM of the given numbers is 107 x 5 x 7 = 3745
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 535,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,749) = 107
common factors(in case of two or more numbers have common factors) = 1
GCF(535,749) x common factors =107 x 1 = 107
LCM(535,749) = ( 535 × 749 ) / 107
LCM(535,749) = 400715 / 107
LCM(535,749) = 3745
∴ Least Common Multiple of 535,749 is 3745
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 535, 749?
Answer: LCM of 535, 749 is 3745.
2. What are the Factors of 3745?
Answer: Factors of 3745 are . There are integers that are factors of 3745
3. How to Find the LCM of 535, 749 ?
Least Common Multiple of 535, 749.
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(535, 749) = 5 x 7 x 107 = 3745.