Least Common Multiple of 45, 45, 242
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 45, 45, 242 i.e. 10890 smallest integer divisible by all numbers.
Least common multiple (LCM) of 45, 45, 242 is 10890.
LCM(45, 45, 242) = 10890
LCM of 45, 45, 242
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 45, 45, 242 by common division method
- Least Common Multiple of 45, 45, 242 with GCF Formula
Least Common Multiple (LCM) of 45,45,242 is 10890
| 3 | 45, 45, 242 |
| 3 | 15, 15, 242 |
| 5 | 5, 5, 242 |
| 1, 1, 242 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 242 = 10890
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 45,45,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,45,242) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(45,45,242) x common factors =1 x 45 = 45
LCM(45,45,242) = ( 45 × 45 × 242 ) / 45
LCM(45,45,242) = 490050 / 45
LCM(45,45,242) = 10890
∴ Least Common Multiple of 45,45,242 is 10890
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 45, 45, 242
1. What is the LCM of 45, 45, 242?
Answer: LCM of 45, 45, 242 is 10890.
2. What are the Factors of 10890?
Answer: Factors of 10890 are . There are integers that are factors of 10890
3. How to Find the LCM of 45, 45, 242 ?
Least Common Multiple of 45, 45, 242.
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(45, 45, 242) = 2 x 3 x 3 x 5 x 11 x 11 = 10890.