Least Common Multiple of 55, 45, 738
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 55, 45, 738 i.e. 40590 smallest integer divisible by all numbers.
Least common multiple (LCM) of 55, 45, 738 is 40590.
LCM(55, 45, 738) = 40590
LCM of 55, 45, 738
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 55, 45, 738 by common division method
- Least Common Multiple of 55, 45, 738 with GCF Formula
Least Common Multiple (LCM) of 55,45,738 is 40590
| 3 | 55, 45, 738 |
| 3 | 55, 15, 246 |
| 5 | 55, 5, 82 |
| 11, 1, 82 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 1 x 82 = 40590
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 55,45,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,45,738) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(55,45,738) x common factors =1 x 45 = 45
LCM(55,45,738) = ( 55 × 45 × 738 ) / 45
LCM(55,45,738) = 1826550 / 45
LCM(55,45,738) = 40590
∴ Least Common Multiple of 55,45,738 is 40590
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 55, 45, 738
1. What is the LCM of 55, 45, 738?
Answer: LCM of 55, 45, 738 is 40590.
2. What are the Factors of 40590?
Answer: Factors of 40590 are . There are integers that are factors of 40590
3. How to Find the LCM of 55, 45, 738 ?
Least Common Multiple of 55, 45, 738.
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(55, 45, 738) = 2 x 3 x 3 x 5 x 11 x 41 = 40590.