Least Common Multiple of 30, 46, 69
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 30, 46, 69 i.e. 690 smallest integer divisible by all numbers.
Least common multiple (LCM) of 30, 46, 69 is 690.
LCM(30, 46, 69) = 690
LCM of 30, 46, 69
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 30, 46, 69 by common division method
- Least Common Multiple of 30, 46, 69 with GCF Formula
Least Common Multiple (LCM) of 30,46,69 is 690
| 2 | 30, 46, 69 |
| 3 | 15, 23, 69 |
| 23 | 5, 23, 23 |
| 5, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 5 x 1 x 1 = 690
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 30,46,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,46,69) = 1
common factors(in case of two or more numbers have common factors) = 138
GCF(30,46,69) x common factors =1 x 138 = 138
LCM(30,46,69) = ( 30 × 46 × 69 ) / 138
LCM(30,46,69) = 95220 / 138
LCM(30,46,69) = 690
∴ Least Common Multiple of 30,46,69 is 690
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 30, 46, 69
1. What is the LCM of 30, 46, 69?
Answer: LCM of 30, 46, 69 is 690.
2. What are the Factors of 690?
Answer: Factors of 690 are . There are integers that are factors of 690
3. How to Find the LCM of 30, 46, 69 ?
Least Common Multiple of 30, 46, 69.
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(30, 46, 69) = 2 x 3 x 5 x 23 = 690.