the LCM of 22,54, and 108 is
Answers
Answer:
5940
Explanation:
22 = 2 x 11
54 = 2×33
108 = 22×33
135 = 33×5
198 = 2×32×11
∴ L.C.M = 22×33×5×11=5940
Subject: HCF and LCM - Quantitative Aptitude - Arithmetic Ability
HOPE HELPFUL!!
1188 is the LCM.
LCM of 22, 54, 108 is 1188.
Step-by-step explanation:
Given:
LCM of 48, 108, 280
To find:
LCM to the values
Solution:
- LCM is the Minimal common multiple, and it is the minimal non-zero same number which will be the factors of given numbers.
- We need to find the factors of each term from that we have to comprise the least common number which is LCM.
- We need to find the largest powers in each term and factors of all values to commute LCM.
LCM of 22, 54, 108
We are finding the factors of all the values 22,54,108.
22⇒2×11
⇒2×11
54⇒2×27
⇒2×3×9
⇒2×3×3×3
108⇒2×54
⇒2×2×27
⇒2×2×3×9
⇒2×2×3×3×3
To find the LCM we have to commute the multiplies, 2 which has the largest power of 2² which is 2×2, 3 which has the largest power of 3³ which is 3×3×3, and 11.
LCM of 48, 108, 280⇒2²×3³×11
⇒2×2×3×3×3×11
⇒4×27×11
⇒1188
Hence,
LCM of 22, 54, 108 is 1188.
1188 is the LCM