Least Common Multiple of 17, 21, 238
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 17, 21, 238 i.e. 714 smallest integer divisible by all numbers.
Least common multiple (LCM) of 17, 21, 238 is 714.
LCM(17, 21, 238) = 714
LCM of 17, 21, 238
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 17, 21, 238 by common division method
- Least Common Multiple of 17, 21, 238 with GCF Formula
Least Common Multiple (LCM) of 17,21,238 is 714
| 7 | 17, 21, 238 |
| 17 | 17, 3, 34 |
| 1, 3, 2 |
∴ So the LCM of the given numbers is 7 x 17 x 1 x 3 x 2 = 714
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 17,21,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,21,238) = 1
common factors(in case of two or more numbers have common factors) = 119
GCF(17,21,238) x common factors =1 x 119 = 119
LCM(17,21,238) = ( 17 × 21 × 238 ) / 119
LCM(17,21,238) = 84966 / 119
LCM(17,21,238) = 714
∴ Least Common Multiple of 17,21,238 is 714
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Frequently Asked Questions on LCM of 17, 21, 238
1. What is the LCM of 17, 21, 238?
Answer: LCM of 17, 21, 238 is 714.
2. What are the Factors of 714?
Answer: Factors of 714 are . There are integers that are factors of 714
3. How to Find the LCM of 17, 21, 238 ?
Least Common Multiple of 17, 21, 238.
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(17, 21, 238) = 2 x 3 x 7 x 17 = 714.