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 524, 756, 914 i.e. 45259452 smallest integer divisible by all numbers.
Least common multiple (LCM) of 524, 756, 914 is 45259452.
LCM(524, 756, 914) = 45259452
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 524, 756, 914 |
2 | 262, 378, 457 |
131, 189, 457 |
∴ So the LCM of the given numbers is 2 x 2 x 131 x 189 x 457 = 45259452
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 524,756,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,756,914) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(524,756,914) x common factors =2 x 4 = 8
LCM(524,756,914) = ( 524 × 756 × 914 ) / 8
LCM(524,756,914) = 362075616 / 8
LCM(524,756,914) = 45259452
∴ Least Common Multiple of 524,756,914 is 45259452
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 756, 914?
Answer: LCM of 524, 756, 914 is 45259452.
2. What are the Factors of 45259452?
Answer: Factors of 45259452 are . There are integers that are factors of 45259452
3. How to Find the LCM of 524, 756, 914 ?
Least Common Multiple of 524, 756, 914.
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(524, 756, 914) = 2 x 2 x 3 x 3 x 3 x 7 x 131 x 457 = 45259452.