Least Common Multiple of 14, 42, 462
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 14, 42, 462 i.e. 462 smallest integer divisible by all numbers.
Least common multiple (LCM) of 14, 42, 462 is 462.
LCM(14, 42, 462) = 462
LCM of 14, 42, 462
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 14, 42, 462 by common division method
- Least Common Multiple of 14, 42, 462 with GCF Formula
Least Common Multiple (LCM) of 14,42,462 is 462
| 2 | 14, 42, 462 |
| 3 | 7, 21, 231 |
| 7 | 7, 7, 77 |
| 1, 1, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 1 x 11 = 462
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 14,42,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,42,462) = 14
common factors(in case of two or more numbers have common factors) = 42
GCF(14,42,462) x common factors =14 x 42 = 588
LCM(14,42,462) = ( 14 × 42 × 462 ) / 588
LCM(14,42,462) = 271656 / 588
LCM(14,42,462) = 462
∴ Least Common Multiple of 14,42,462 is 462
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 14, 42, 462
1. What is the LCM of 14, 42, 462?
Answer: LCM of 14, 42, 462 is 462.
2. What are the Factors of 462?
Answer: Factors of 462 are . There are integers that are factors of 462
3. How to Find the LCM of 14, 42, 462 ?
Least Common Multiple of 14, 42, 462.
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(14, 42, 462) = 2 x 3 x 7 x 11 = 462.