Least Common Multiple of 714, 5389
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 714, 5389 i.e. 226338 smallest integer divisible by all numbers.
Least common multiple (LCM) of 714, 5389 is 226338.
LCM(714, 5389) = 226338
LCM of 714, 5389
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 714, 5389 by common division method
- Least Common Multiple of 714, 5389 with GCF Formula
Least Common Multiple (LCM) of 714,5389 is 226338
| 17 | 714, 5389 |
| 42, 317 |
∴ So the LCM of the given numbers is 17 x 42 x 317 = 226338
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 714,5389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,5389) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(714,5389) x common factors =17 x 1 = 17
LCM(714,5389) = ( 714 × 5389 ) / 17
LCM(714,5389) = 3847746 / 17
LCM(714,5389) = 226338
∴ Least Common Multiple of 714,5389 is 226338
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 714, 5389
1. What is the LCM of 714, 5389?
Answer: LCM of 714, 5389 is 226338.
2. What are the Factors of 226338?
Answer: Factors of 226338 are . There are integers that are factors of 226338
3. How to Find the LCM of 714, 5389 ?
Least Common Multiple of 714, 5389.
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(714, 5389) = 2 x 3 x 7 x 17 x 317 = 226338.