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 372, 576, 846, 560, 548 i.e. 4024117440 smallest integer divisible by all numbers.
Least common multiple (LCM) of 372, 576, 846, 560, 548 is 4024117440.
LCM(372, 576, 846, 560, 548) = 4024117440
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 372, 576, 846, 560, 548 |
2 | 186, 288, 423, 280, 274 |
2 | 93, 144, 423, 140, 137 |
2 | 93, 72, 423, 70, 137 |
3 | 93, 36, 423, 35, 137 |
3 | 31, 12, 141, 35, 137 |
31, 4, 47, 35, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 31 x 4 x 47 x 35 x 137 = 4024117440
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 372,576,846,560,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,576,846,560,548) = 2
common factors(in case of two or more numbers have common factors) = 6912
GCF(372,576,846,560,548) x common factors =2 x 6912 = 13824
LCM(372,576,846,560,548) = ( 372 × 576 × 846 × 560 × 548 ) / 13824
LCM(372,576,846,560,548) = 55629399490560 / 13824
LCM(372,576,846,560,548) = 4024117440
∴ Least Common Multiple of 372,576,846,560,548 is 4024117440
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 372, 576, 846, 560, 548?
Answer: LCM of 372, 576, 846, 560, 548 is 4024117440.
2. What are the Factors of 4024117440?
Answer: Factors of 4024117440 are . There are integers that are factors of 4024117440
3. How to Find the LCM of 372, 576, 846, 560, 548 ?
Least Common Multiple of 372, 576, 846, 560, 548.
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(372, 576, 846, 560, 548) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 x 47 x 137 = 4024117440.