Least Common Multiple of 49, 30, 33
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 49, 30, 33 i.e. 16170 smallest integer divisible by all numbers.
Least common multiple (LCM) of 49, 30, 33 is 16170.
LCM(49, 30, 33) = 16170
LCM of 49, 30, 33
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 49, 30, 33 by common division method
- Least Common Multiple of 49, 30, 33 with GCF Formula
Least Common Multiple (LCM) of 49,30,33 is 16170
| 3 | 49, 30, 33 |
| 49, 10, 11 |
∴ So the LCM of the given numbers is 3 x 49 x 10 x 11 = 16170
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 49,30,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,30,33) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(49,30,33) x common factors =1 x 3 = 3
LCM(49,30,33) = ( 49 × 30 × 33 ) / 3
LCM(49,30,33) = 48510 / 3
LCM(49,30,33) = 16170
∴ Least Common Multiple of 49,30,33 is 16170
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 49, 30, 33
1. What is the LCM of 49, 30, 33?
Answer: LCM of 49, 30, 33 is 16170.
2. What are the Factors of 16170?
Answer: Factors of 16170 are . There are integers that are factors of 16170
3. How to Find the LCM of 49, 30, 33 ?
Least Common Multiple of 49, 30, 33.
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(49, 30, 33) = 2 x 3 x 5 x 7 x 7 x 11 = 16170.