Least Common Multiple of 483 and 490
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 483 and 490 the smallest integer that is 33810 that is divisible by both numbers.
Least Common Multiple (LCM) of 483 and 490 is 33810.
LCM(483,490) = 33810
LCM of 483 and 490
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 483 and 490 by Prime method
- Least Common Multiple of 483 and 490 with GCF Formula
LCM of 483 and 490 is 33810
Least common multiple can be found by multiplying the highest exponent prime factors of 483 and 490. First we will calculate the prime factors of 483 and 490.
Prime Factorization of 483
| 3 | 483 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 483 are 3, 7,23. Prime factorization of 483 in exponential form is:
483 = 31×71×231
Prime Factorization of 490
| 2 | 490 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 490 are 2, 5,7. Prime factorization of 490 in exponential form is:
490 = 21×51×72
Now multiplying the highest exponent prime factors to calculate the LCM of 483 and 490.
LCM(483,490) = 21×31×51×72×231
LCM(483,490) = 33810
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Least Common Multiple of 483 and 490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 483 and 490, than apply into the LCM equation.
GCF(483,490) = 7
LCM(483,490) = ( 483 × 490) / 7
LCM(483,490) = 236670 / 7
LCM(483,490) = 33810
Properties of LCM 483 and 490
(i) The LCM of 490 and 483 is associative
LCM of 483 and 490 = LCM of 490 and 483
Related Least Common Multiples of 483
Related Least Common Multiples of 490
Frequently Asked Questions on LCM of 483 and 490
1. What is the LCM of 483 and 490?
Answer: LCM of 483 and 490 is 33810.
2. What are the Factors of 483?
Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.
3. What are the Factors of 490?
Answer: Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. There are 12 integers that are factors of 490. The greatest factor of 490 is 490.
4. How to Find the LCM of 483 and 490?
Answer:
Least Common Multiple of 483 and 490 = 33810
Step 1: Find the prime factorization of 483
483 = 3 x 7 x 23
Step 2: Find the prime factorization of 490
490 = 2 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33810 = 2 x 3 x 5 x 7 x 7 x 23
Step 4: Therefore, the least common multiple of 483 and 490 is 33810.