Least Common Multiple of 81, 78, 741
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 81, 78, 741 i.e. 40014 smallest integer divisible by all numbers.
Least common multiple (LCM) of 81, 78, 741 is 40014.
LCM(81, 78, 741) = 40014
LCM of 81, 78, 741
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 81, 78, 741 by common division method
- Least Common Multiple of 81, 78, 741 with GCF Formula
Least Common Multiple (LCM) of 81,78,741 is 40014
| 3 | 81, 78, 741 |
| 13 | 27, 26, 247 |
| 27, 2, 19 |
∴ So the LCM of the given numbers is 3 x 13 x 27 x 2 x 19 = 40014
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 81,78,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,78,741) = 3
common factors(in case of two or more numbers have common factors) = 39
GCF(81,78,741) x common factors =3 x 39 = 117
LCM(81,78,741) = ( 81 × 78 × 741 ) / 117
LCM(81,78,741) = 4681638 / 117
LCM(81,78,741) = 40014
∴ Least Common Multiple of 81,78,741 is 40014
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Frequently Asked Questions on LCM of 81, 78, 741
1. What is the LCM of 81, 78, 741?
Answer: LCM of 81, 78, 741 is 40014.
2. What are the Factors of 40014?
Answer: Factors of 40014 are . There are integers that are factors of 40014
3. How to Find the LCM of 81, 78, 741 ?
Least Common Multiple of 81, 78, 741.
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(81, 78, 741) = 2 x 3 x 3 x 3 x 3 x 13 x 19 = 40014.