Least Common Multiple of 522, 1914
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 522, 1914 i.e. 5742 smallest integer divisible by all numbers.
Least common multiple (LCM) of 522, 1914 is 5742.
LCM(522, 1914) = 5742
LCM of 522, 1914
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 522, 1914 by common division method
- Least Common Multiple of 522, 1914 with GCF Formula
Least Common Multiple (LCM) of 522,1914 is 5742
| 2 | 522, 1914 |
| 3 | 261, 957 |
| 29 | 87, 319 |
| 3, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 3 x 11 = 5742
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 522,1914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,1914) = 174
common factors(in case of two or more numbers have common factors) = 1
GCF(522,1914) x common factors =174 x 1 = 174
LCM(522,1914) = ( 522 × 1914 ) / 174
LCM(522,1914) = 999108 / 174
LCM(522,1914) = 5742
∴ Least Common Multiple of 522,1914 is 5742
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Frequently Asked Questions on LCM of 522, 1914
1. What is the LCM of 522, 1914?
Answer: LCM of 522, 1914 is 5742.
2. What are the Factors of 5742?
Answer: Factors of 5742 are . There are integers that are factors of 5742
3. How to Find the LCM of 522, 1914 ?
Least Common Multiple of 522, 1914.
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(522, 1914) = 2 x 3 x 3 x 11 x 29 = 5742.