Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 380 and 386 the smallest integer that is 73340 that is divisible by both numbers.
Least Common Multiple (LCM) of 380 and 386 is 73340.
LCM(380,386) = 73340
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 380 and 386. First we will calculate the prime factors of 380 and 386.
Prime Factorization of 380
2 | 380 |
2 | 190 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 380 are 2, 5,19. Prime factorization of 380 in exponential form is:
380 = 22×51×191
Prime Factorization of 386
2 | 386 |
193 | 193 |
1 |
Prime factors of 386 are 2,193. Prime factorization of 386 in exponential form is:
386 = 21×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 380 and 386.
LCM(380,386) = 22×51×191×1931
LCM(380,386) = 73340
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1, 2, 193, 386
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 380 and 386, than apply into the LCM equation.
GCF(380,386) = 2
LCM(380,386) = ( 380 × 386) / 2
LCM(380,386) = 146680 / 2
LCM(380,386) = 73340
(i) The LCM of 386 and 380 is associative
LCM of 380 and 386 = LCM of 386 and 380
1. What is the LCM of 380 and 386?
Answer: LCM of 380 and 386 is 73340.
2. What are the Factors of 380?
Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.
3. What are the Factors of 386?
Answer: Factors of 386 are 1, 2, 193, 386. There are 4 integers that are factors of 386. The greatest factor of 386 is 386.
4. How to Find the LCM of 380 and 386?
Answer:
Least Common Multiple of 380 and 386 = 73340
Step 1: Find the prime factorization of 380
380 = 2 x 2 x 5 x 19
Step 2: Find the prime factorization of 386
386 = 2 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73340 = 2 x 2 x 5 x 19 x 193
Step 4: Therefore, the least common multiple of 380 and 386 is 73340.