Least Common Multiple of 294 and 298
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 294 and 298 the smallest integer that is 43806 that is divisible by both numbers.
Least Common Multiple (LCM) of 294 and 298 is 43806.
LCM(294,298) = 43806
LCM of 294 and 298
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 294 and 298 by Prime method
- Least Common Multiple of 294 and 298 with GCF Formula
LCM of 294 and 298 is 43806
Least common multiple can be found by multiplying the highest exponent prime factors of 294 and 298. First we will calculate the prime factors of 294 and 298.
Prime Factorization of 294
| 2 | 294 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:
294 = 21×31×72
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
Now multiplying the highest exponent prime factors to calculate the LCM of 294 and 298.
LCM(294,298) = 21×31×72×1491
LCM(294,298) = 43806
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Least Common Multiple of 294 and 298 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 294 and 298, than apply into the LCM equation.
GCF(294,298) = 2
LCM(294,298) = ( 294 × 298) / 2
LCM(294,298) = 87612 / 2
LCM(294,298) = 43806
Properties of LCM 294 and 298
(i) The LCM of 298 and 294 is associative
LCM of 294 and 298 = LCM of 298 and 294
Related Least Common Multiples of 294
Related Least Common Multiples of 298
Frequently Asked Questions on LCM of 294 and 298
1. What is the LCM of 294 and 298?
Answer: LCM of 294 and 298 is 43806.
2. What are the Factors of 294?
Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.
3. 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.
4. How to Find the LCM of 294 and 298?
Answer:
Least Common Multiple of 294 and 298 = 43806
Step 1: Find the prime factorization of 294
294 = 2 x 3 x 7 x 7
Step 2: Find the prime factorization of 298
298 = 2 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43806 = 2 x 3 x 7 x 7 x 149
Step 4: Therefore, the least common multiple of 294 and 298 is 43806.
