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 190, 820, 298, 490, 245 i.e. 113749580 smallest integer divisible by all numbers.
Least common multiple (LCM) of 190, 820, 298, 490, 245 is 113749580.
LCM(190, 820, 298, 490, 245) = 113749580
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 190, 820, 298, 490, 245 |
5 | 95, 410, 149, 245, 245 |
7 | 19, 82, 149, 49, 49 |
7 | 19, 82, 149, 7, 7 |
19, 82, 149, 1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 7 x 19 x 82 x 149 x 1 x 1 = 113749580
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 190,820,298,490,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,820,298,490,245) = 1
common factors(in case of two or more numbers have common factors) = 49000
GCF(190,820,298,490,245) x common factors =1 x 49000 = 49000
LCM(190,820,298,490,245) = ( 190 × 820 × 298 × 490 × 245 ) / 49000
LCM(190,820,298,490,245) = 5573729420000 / 49000
LCM(190,820,298,490,245) = 113749580
∴ Least Common Multiple of 190,820,298,490,245 is 113749580
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 190, 820, 298, 490, 245?
Answer: LCM of 190, 820, 298, 490, 245 is 113749580.
2. What are the Factors of 113749580?
Answer: Factors of 113749580 are . There are integers that are factors of 113749580
3. How to Find the LCM of 190, 820, 298, 490, 245 ?
Least Common Multiple of 190, 820, 298, 490, 245.
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(190, 820, 298, 490, 245) = 2 x 2 x 5 x 7 x 7 x 19 x 41 x 149 = 113749580.