Least Common Multiple of 54, 78, 819
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 54, 78, 819 i.e. 4914 smallest integer divisible by all numbers.
Least common multiple (LCM) of 54, 78, 819 is 4914.
LCM(54, 78, 819) = 4914
LCM of 54, 78, 819
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 54, 78, 819 by common division method
- Least Common Multiple of 54, 78, 819 with GCF Formula
Least Common Multiple (LCM) of 54,78,819 is 4914
| 2 | 54, 78, 819 |
| 3 | 27, 39, 819 |
| 3 | 9, 13, 273 |
| 13 | 3, 13, 91 |
| 3, 1, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 3 x 1 x 7 = 4914
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 54,78,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,78,819) = 3
common factors(in case of two or more numbers have common factors) = 234
GCF(54,78,819) x common factors =3 x 234 = 702
LCM(54,78,819) = ( 54 × 78 × 819 ) / 702
LCM(54,78,819) = 3449628 / 702
LCM(54,78,819) = 4914
∴ Least Common Multiple of 54,78,819 is 4914
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 54, 78, 819
1. What is the LCM of 54, 78, 819?
Answer: LCM of 54, 78, 819 is 4914.
2. What are the Factors of 4914?
Answer: Factors of 4914 are . There are integers that are factors of 4914
3. How to Find the LCM of 54, 78, 819 ?
Least Common Multiple of 54, 78, 819.
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(54, 78, 819) = 2 x 3 x 3 x 3 x 7 x 13 = 4914.