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 531, 276, 315, 749 i.e. 182950740 smallest integer divisible by all numbers.
Least common multiple (LCM) of 531, 276, 315, 749 is 182950740.
LCM(531, 276, 315, 749) = 182950740
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 531, 276, 315, 749 |
3 | 177, 92, 105, 749 |
7 | 59, 92, 35, 749 |
59, 92, 5, 107 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 59 x 92 x 5 x 107 = 182950740
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 531,276,315,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,276,315,749) = 1
common factors(in case of two or more numbers have common factors) = 189
GCF(531,276,315,749) x common factors =1 x 189 = 189
LCM(531,276,315,749) = ( 531 × 276 × 315 × 749 ) / 189
LCM(531,276,315,749) = 34577689860 / 189
LCM(531,276,315,749) = 182950740
∴ Least Common Multiple of 531,276,315,749 is 182950740
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 276, 315, 749?
Answer: LCM of 531, 276, 315, 749 is 182950740.
2. What are the Factors of 182950740?
Answer: Factors of 182950740 are . There are integers that are factors of 182950740
3. How to Find the LCM of 531, 276, 315, 749 ?
Least Common Multiple of 531, 276, 315, 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(531, 276, 315, 749) = 2 x 2 x 3 x 3 x 5 x 7 x 23 x 59 x 107 = 182950740.