Least Common Multiple of 309, 7221
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 309, 7221 i.e. 743763 smallest integer divisible by all numbers.
Least common multiple (LCM) of 309, 7221 is 743763.
LCM(309, 7221) = 743763
LCM of 309, 7221
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 309, 7221 by common division method
- Least Common Multiple of 309, 7221 with GCF Formula
Least Common Multiple (LCM) of 309,7221 is 743763
| 3 | 309, 7221 |
| 103, 2407 |
∴ So the LCM of the given numbers is 3 x 103 x 2407 = 743763
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 309,7221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,7221) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,7221) x common factors =3 x 1 = 3
LCM(309,7221) = ( 309 × 7221 ) / 3
LCM(309,7221) = 2231289 / 3
LCM(309,7221) = 743763
∴ Least Common Multiple of 309,7221 is 743763
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 309, 7221
1. What is the LCM of 309, 7221?
Answer: LCM of 309, 7221 is 743763.
2. What are the Factors of 743763?
Answer: Factors of 743763 are . There are integers that are factors of 743763
3. How to Find the LCM of 309, 7221 ?
Least Common Multiple of 309, 7221.
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(309, 7221) = 3 x 29 x 83 x 103 = 743763.