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 140, 721, 147, 506, 238 i.e. 1302428820 smallest integer divisible by all numbers.
Least common multiple (LCM) of 140, 721, 147, 506, 238 is 1302428820.
LCM(140, 721, 147, 506, 238) = 1302428820
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 140, 721, 147, 506, 238 |
7 | 70, 721, 147, 253, 119 |
10, 103, 21, 253, 17 |
∴ So the LCM of the given numbers is 2 x 7 x 10 x 103 x 21 x 253 x 17 = 1302428820
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 140,721,147,506,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,721,147,506,238) = 1
common factors(in case of two or more numbers have common factors) = 1372
GCF(140,721,147,506,238) x common factors =1 x 1372 = 1372
LCM(140,721,147,506,238) = ( 140 × 721 × 147 × 506 × 238 ) / 1372
LCM(140,721,147,506,238) = 1786932341040 / 1372
LCM(140,721,147,506,238) = 1302428820
∴ Least Common Multiple of 140,721,147,506,238 is 1302428820
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 140, 721, 147, 506, 238?
Answer: LCM of 140, 721, 147, 506, 238 is 1302428820.
2. What are the Factors of 1302428820?
Answer: Factors of 1302428820 are . There are integers that are factors of 1302428820
3. How to Find the LCM of 140, 721, 147, 506, 238 ?
Least Common Multiple of 140, 721, 147, 506, 238.
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(140, 721, 147, 506, 238) = 2 x 2 x 3 x 5 x 7 x 7 x 11 x 17 x 23 x 103 = 1302428820.