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 380, 944, 590, 780, 146 i.e. 255318960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 380, 944, 590, 780, 146 is 255318960.
LCM(380, 944, 590, 780, 146) = 255318960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 380, 944, 590, 780, 146 |
2 | 190, 472, 295, 390, 73 |
5 | 95, 236, 295, 195, 73 |
59 | 19, 236, 59, 39, 73 |
19, 4, 1, 39, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 59 x 19 x 4 x 1 x 39 x 73 = 255318960
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 380,944,590,780,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,944,590,780,146) = 2
common factors(in case of two or more numbers have common factors) = 47200
GCF(380,944,590,780,146) x common factors =2 x 47200 = 94400
LCM(380,944,590,780,146) = ( 380 × 944 × 590 × 780 × 146 ) / 94400
LCM(380,944,590,780,146) = 24102109824000 / 94400
LCM(380,944,590,780,146) = 255318960
∴ Least Common Multiple of 380,944,590,780,146 is 255318960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 944, 590, 780, 146?
Answer: LCM of 380, 944, 590, 780, 146 is 255318960.
2. What are the Factors of 255318960?
Answer: Factors of 255318960 are . There are integers that are factors of 255318960
3. How to Find the LCM of 380, 944, 590, 780, 146 ?
Least Common Multiple of 380, 944, 590, 780, 146.
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(380, 944, 590, 780, 146) = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 19 x 59 x 73 = 255318960.