Find the L.C.M. of the following sets of numbers using division method.
Answers
Answer:
Find the L.C.M. of each the following groups of numbers, using
(i) the prime factor method and
(ii) the common division method :
(i) 18, 24 and 96
(ii) 100, 150 and 200
(iii) 14, 21 and 98
(iv) 22, 121 and 33
(v) 34, 85 and 51
Step-by-step explanation:
(i) L.C.M. of 18, 24 and 96
(i) By prime factors
Prime factors of 18 = 2 x 3 x 3
Prime factors of 24 = 2 x 2 x 2 x 3
Prime factors of 96 = 2 x 2 x 2 x 2 x 2 x 3
L.C.M. = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288
By common division method
L.C.M. of 18, 24 and 96 = 2 x 2 x 2 x 3 x 3 x 4 = 288
(ii) 100, 150 and 200
Factor of 100 = 2 × 2 × 5 × 5 = 22 × 52
Factor of 150 = 2 × 3 × 5 × 5
= 21 × 31 × 52
Factor of 200 = 2 × 2 × 2 × 5 × 5 = 23 × 52
∴ L.C.M. OF 100, 150 and 200
= 23 × 31 × 52 = 600
∴ L.C.M. OF 100,
(iii) 14, 21, 98
Factor of 14 = 2 × 7 = 21 × 71
Factor of 21 = 3 × 7 = 31 × 71
Factor of 98 = 2 × 7 × 7 = 21 × 72
∴ L.C.M. of 14, 21 and 98
= 21 × 31 × 72 = 294
Answer:
LCM - Lowest commom multiple
How to do
- List the multiples of each number until at least one of the multiples appears on all lists.
- Find the smallest number that is on all of the lists.
- This number is the LCM.
Step-by-step explanation: