Least Common Multiple of 298 and 305
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 298 and 305 the smallest integer that is 90890 that is divisible by both numbers.
Least Common Multiple (LCM) of 298 and 305 is 90890.
LCM(298,305) = 90890
LCM of 298 and 305
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 298 and 305 by Prime method
- Least Common Multiple of 298 and 305 with GCF Formula
LCM of 298 and 305 is 90890
Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 305. First we will calculate the prime factors of 298 and 305.
Prime Factorization of 298
| 2 | 298 |
| 149 | 149 |
| 1 |
Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:
298 = 21×1491
Prime Factorization of 305
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:
305 = 51×611
Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 305.
LCM(298,305) = 21×51×611×1491
LCM(298,305) = 90890
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Least Common Multiple of 298 and 305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 298 and 305, than apply into the LCM equation.
GCF(298,305) = 1
LCM(298,305) = ( 298 × 305) / 1
LCM(298,305) = 90890 / 1
LCM(298,305) = 90890
Properties of LCM 298 and 305
(i) The LCM of 305 and 298 is associative
LCM of 298 and 305 = LCM of 305 and 298
Related Least Common Multiples of 298
Related Least Common Multiples of 305
Frequently Asked Questions on LCM of 298 and 305
1. What is the LCM of 298 and 305?
Answer: LCM of 298 and 305 is 90890.
2. What are the Factors of 298?
Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.
3. What are the Factors of 305?
Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.
4. How to Find the LCM of 298 and 305?
Answer:
Least Common Multiple of 298 and 305 = 90890
Step 1: Find the prime factorization of 298
298 = 2 x 149
Step 2: Find the prime factorization of 305
305 = 5 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90890 = 2 x 5 x 61 x 149
Step 4: Therefore, the least common multiple of 298 and 305 is 90890.
